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Finding the Fourth Proportional to 150.71, 224.77 and 136.13

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Solution

The fourth proportional to 150.71, 224.77 and 136.13 is: 203.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.71 : 224.77 = 136.13 : x
  2. Step 2: Convert to fraction form
    150.71/224.77 = 136.13/x
  3. Step 3: Cross multiply
    150.71x = 224.77 × 136.13
  4. Step 4: Simplify right side
    150.71x = 30,598.67
  5. Step 5: Solve for x
    x = 30,598.67/150.71
  6. Step 6: Final answer
    x = 203.03

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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.