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Finding the Fourth Proportional to 234.76, 352.03 and 88.53

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Solution

The fourth proportional to 234.76, 352.03 and 88.53 is: 132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.76 : 352.03 = 88.53 : x
  2. Step 2: Convert to fraction form
    234.76/352.03 = 88.53/x
  3. Step 3: Cross multiply
    234.76x = 352.03 × 88.53
  4. Step 4: Simplify right side
    234.76x = 31,165.22
  5. Step 5: Solve for x
    x = 31,165.22/234.76
  6. Step 6: Final answer
    x = 132.75

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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.