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Finding the Fourth Proportional to 266.62, 400.10 and 151.02

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Solution

The fourth proportional to 266.62, 400.10 and 151.02 is: 226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.62 : 400.10 = 151.02 : x
  2. Step 2: Convert to fraction form
    266.62/400.10 = 151.02/x
  3. Step 3: Cross multiply
    266.62x = 400.10 × 151.02
  4. Step 4: Simplify right side
    266.62x = 60,423.10
  5. Step 5: Solve for x
    x = 60,423.10/266.62
  6. Step 6: Final answer
    x = 226.63

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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.