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Finding the Fourth Proportional to 475.02, 712.56 and 166.83

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Solution

The fourth proportional to 475.02, 712.56 and 166.83 is: 250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.02 : 712.56 = 166.83 : x
  2. Step 2: Convert to fraction form
    475.02/712.56 = 166.83/x
  3. Step 3: Cross multiply
    475.02x = 712.56 × 166.83
  4. Step 4: Simplify right side
    475.02x = 118,876.38
  5. Step 5: Solve for x
    x = 118,876.38/475.02
  6. Step 6: Final answer
    x = 250.26

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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.