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Finding the Fourth Proportional to 185.52, 277.92 and 143.04

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Solution

The fourth proportional to 185.52, 277.92 and 143.04 is: 214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.52 : 277.92 = 143.04 : x
  2. Step 2: Convert to fraction form
    185.52/277.92 = 143.04/x
  3. Step 3: Cross multiply
    185.52x = 277.92 × 143.04
  4. Step 4: Simplify right side
    185.52x = 39,753.68
  5. Step 5: Solve for x
    x = 39,753.68/185.52
  6. Step 6: Final answer
    x = 214.28

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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.