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Finding the Fourth Proportional to 340.92, 510.96 and 148.14

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Solution

The fourth proportional to 340.92, 510.96 and 148.14 is: 222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.92 : 510.96 = 148.14 : x
  2. Step 2: Convert to fraction form
    340.92/510.96 = 148.14/x
  3. Step 3: Cross multiply
    340.92x = 510.96 × 148.14
  4. Step 4: Simplify right side
    340.92x = 75,693.61
  5. Step 5: Solve for x
    x = 75,693.61/340.92
  6. Step 6: Final answer
    x = 222.03

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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.