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Finding the Fourth Proportional to 266.83, 400.15 and 93.46

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Solution

The fourth proportional to 266.83, 400.15 and 93.46 is: 140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.83 : 400.15 = 93.46 : x
  2. Step 2: Convert to fraction form
    266.83/400.15 = 93.46/x
  3. Step 3: Cross multiply
    266.83x = 400.15 × 93.46
  4. Step 4: Simplify right side
    266.83x = 37,398.02
  5. Step 5: Solve for x
    x = 37,398.02/266.83
  6. Step 6: Final answer
    x = 140.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.