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Finding the Fourth Proportional to 760.90, 1,141.36 and 183.78

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Solution

The fourth proportional to 760.90, 1,141.36 and 183.78 is: 275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.90 : 1,141.36 = 183.78 : x
  2. Step 2: Convert to fraction form
    760.90/1,141.36 = 183.78/x
  3. Step 3: Cross multiply
    760.90x = 1,141.36 × 183.78
  4. Step 4: Simplify right side
    760.90x = 209,755.37
  5. Step 5: Solve for x
    x = 209,755.37/760.90
  6. Step 6: Final answer
    x = 275.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.