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Finding the Fourth Proportional to 263.29, 363.05 and 184.69

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Solution

The fourth proportional to 263.29, 363.05 and 184.69 is: 254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.29 : 363.05 = 184.69 : x
  2. Step 2: Convert to fraction form
    263.29/363.05 = 184.69/x
  3. Step 3: Cross multiply
    263.29x = 363.05 × 184.69
  4. Step 4: Simplify right side
    263.29x = 67,051.70
  5. Step 5: Solve for x
    x = 67,051.70/263.29
  6. Step 6: Final answer
    x = 254.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.