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Finding the Fourth Proportional to 153.38, 229.04 and 151.76

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Solution

The fourth proportional to 153.38, 229.04 and 151.76 is: 226.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.38 : 229.04 = 151.76 : x
  2. Step 2: Convert to fraction form
    153.38/229.04 = 151.76/x
  3. Step 3: Cross multiply
    153.38x = 229.04 × 151.76
  4. Step 4: Simplify right side
    153.38x = 34,757.21
  5. Step 5: Solve for x
    x = 34,757.21/153.38
  6. Step 6: Final answer
    x = 226.62

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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.