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Finding the Fourth Proportional to 475.30, 712.70 and 150.66

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Solution

The fourth proportional to 475.30, 712.70 and 150.66 is: 225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.30 : 712.70 = 150.66 : x
  2. Step 2: Convert to fraction form
    475.30/712.70 = 150.66/x
  3. Step 3: Cross multiply
    475.30x = 712.70 × 150.66
  4. Step 4: Simplify right side
    475.30x = 107,375.38
  5. Step 5: Solve for x
    x = 107,375.38/475.30
  6. Step 6: Final answer
    x = 225.91

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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.