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Finding the Fourth Proportional to 192.98, 287.75 and 184.88

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Solution

The fourth proportional to 192.98, 287.75 and 184.88 is: 275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.98 : 287.75 = 184.88 : x
  2. Step 2: Convert to fraction form
    192.98/287.75 = 184.88/x
  3. Step 3: Cross multiply
    192.98x = 287.75 × 184.88
  4. Step 4: Simplify right side
    192.98x = 53,200.40
  5. Step 5: Solve for x
    x = 53,200.40/192.98
  6. Step 6: Final answer
    x = 275.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.