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Finding the Fourth Proportional to 234.66, 352.14 and 148.02

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Solution

The fourth proportional to 234.66, 352.14 and 148.02 is: 222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.66 : 352.14 = 148.02 : x
  2. Step 2: Convert to fraction form
    234.66/352.14 = 148.02/x
  3. Step 3: Cross multiply
    234.66x = 352.14 × 148.02
  4. Step 4: Simplify right side
    234.66x = 52,123.76
  5. Step 5: Solve for x
    x = 52,123.76/234.66
  6. Step 6: Final answer
    x = 222.12

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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.