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Finding the Fourth Proportional to 152.52, 229.18 and 142.80

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Solution

The fourth proportional to 152.52, 229.18 and 142.80 is: 214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.52 : 229.18 = 142.80 : x
  2. Step 2: Convert to fraction form
    152.52/229.18 = 142.80/x
  3. Step 3: Cross multiply
    152.52x = 229.18 × 142.80
  4. Step 4: Simplify right side
    152.52x = 32,726.90
  5. Step 5: Solve for x
    x = 32,726.90/152.52
  6. Step 6: Final answer
    x = 214.57

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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.