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Finding the Fourth Proportional to 153.75, 229.27 and 142.59

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Solution

The fourth proportional to 153.75, 229.27 and 142.59 is: 212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.75 : 229.27 = 142.59 : x
  2. Step 2: Convert to fraction form
    153.75/229.27 = 142.59/x
  3. Step 3: Cross multiply
    153.75x = 229.27 × 142.59
  4. Step 4: Simplify right side
    153.75x = 32,691.25
  5. Step 5: Solve for x
    x = 32,691.25/153.75
  6. Step 6: Final answer
    x = 212.63

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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.