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Finding the Fourth Proportional to 340.43, 510.69 and 132.21

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Solution

The fourth proportional to 340.43, 510.69 and 132.21 is: 198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.43 : 510.69 = 132.21 : x
  2. Step 2: Convert to fraction form
    340.43/510.69 = 132.21/x
  3. Step 3: Cross multiply
    340.43x = 510.69 × 132.21
  4. Step 4: Simplify right side
    340.43x = 67,518.32
  5. Step 5: Solve for x
    x = 67,518.32/340.43
  6. Step 6: Final answer
    x = 198.34

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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.