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Finding the Fourth Proportional to 266.15, 398.95 and 174.92

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Solution

The fourth proportional to 266.15, 398.95 and 174.92 is: 262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.15 : 398.95 = 174.92 : x
  2. Step 2: Convert to fraction form
    266.15/398.95 = 174.92/x
  3. Step 3: Cross multiply
    266.15x = 398.95 × 174.92
  4. Step 4: Simplify right side
    266.15x = 69,781.90
  5. Step 5: Solve for x
    x = 69,781.90/266.15
  6. Step 6: Final answer
    x = 262.19

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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.