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Finding the Fourth Proportional to 331.46, 497.10 and 169.12

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Solution

The fourth proportional to 331.46, 497.10 and 169.12 is: 253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.46 : 497.10 = 169.12 : x
  2. Step 2: Convert to fraction form
    331.46/497.10 = 169.12/x
  3. Step 3: Cross multiply
    331.46x = 497.10 × 169.12
  4. Step 4: Simplify right side
    331.46x = 84,070.81
  5. Step 5: Solve for x
    x = 84,070.81/331.46
  6. Step 6: Final answer
    x = 253.64

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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.