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Finding the Fourth Proportional to 153.71, 229.57 and 126.35

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Solution

The fourth proportional to 153.71, 229.57 and 126.35 is: 188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.71 : 229.57 = 126.35 : x
  2. Step 2: Convert to fraction form
    153.71/229.57 = 126.35/x
  3. Step 3: Cross multiply
    153.71x = 229.57 × 126.35
  4. Step 4: Simplify right side
    153.71x = 29,005.54
  5. Step 5: Solve for x
    x = 29,005.54/153.71
  6. Step 6: Final answer
    x = 188.70

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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.