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Finding the Fourth Proportional to 266.67, 399.96 and 93.47

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Solution

The fourth proportional to 266.67, 399.96 and 93.47 is: 140.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.67 : 399.96 = 93.47 : x
  2. Step 2: Convert to fraction form
    266.67/399.96 = 93.47/x
  3. Step 3: Cross multiply
    266.67x = 399.96 × 93.47
  4. Step 4: Simplify right side
    266.67x = 37,382.26
  5. Step 5: Solve for x
    x = 37,382.26/266.67
  6. Step 6: Final answer
    x = 140.18

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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.