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Finding the Fourth Proportional to 240.76, 332.22 and 135.84

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Solution

The fourth proportional to 240.76, 332.22 and 135.84 is: 187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.76 : 332.22 = 135.84 : x
  2. Step 2: Convert to fraction form
    240.76/332.22 = 135.84/x
  3. Step 3: Cross multiply
    240.76x = 332.22 × 135.84
  4. Step 4: Simplify right side
    240.76x = 45,128.76
  5. Step 5: Solve for x
    x = 45,128.76/240.76
  6. Step 6: Final answer
    x = 187.44

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Why These Related Problems?

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