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Finding the Fourth Proportional to 474.46, 711.78 and 166.24

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Solution

The fourth proportional to 474.46, 711.78 and 166.24 is: 249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.46 : 711.78 = 166.24 : x
  2. Step 2: Convert to fraction form
    474.46/711.78 = 166.24/x
  3. Step 3: Cross multiply
    474.46x = 711.78 × 166.24
  4. Step 4: Simplify right side
    474.46x = 118,326.31
  5. Step 5: Solve for x
    x = 118,326.31/474.46
  6. Step 6: Final answer
    x = 249.39

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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.