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Finding the Fourth Proportional to 240.74, 332.22 and 135.83

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Solution

The fourth proportional to 240.74, 332.22 and 135.83 is: 187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.74 : 332.22 = 135.83 : x
  2. Step 2: Convert to fraction form
    240.74/332.22 = 135.83/x
  3. Step 3: Cross multiply
    240.74x = 332.22 × 135.83
  4. Step 4: Simplify right side
    240.74x = 45,125.08
  5. Step 5: Solve for x
    x = 45,125.08/240.74
  6. Step 6: Final answer
    x = 187.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.