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Finding the Fourth Proportional to 474.10, 710.97 and 165.94

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Solution

The fourth proportional to 474.10, 710.97 and 165.94 is: 248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.10 : 710.97 = 165.94 : x
  2. Step 2: Convert to fraction form
    474.10/710.97 = 165.94/x
  3. Step 3: Cross multiply
    474.10x = 710.97 × 165.94
  4. Step 4: Simplify right side
    474.10x = 117,978.36
  5. Step 5: Solve for x
    x = 117,978.36/474.10
  6. Step 6: Final answer
    x = 248.85

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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.