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Finding the Fourth Proportional to 343.42, 515.12 and 86.92

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Solution

The fourth proportional to 343.42, 515.12 and 86.92 is: 130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.42 : 515.12 = 86.92 : x
  2. Step 2: Convert to fraction form
    343.42/515.12 = 86.92/x
  3. Step 3: Cross multiply
    343.42x = 515.12 × 86.92
  4. Step 4: Simplify right side
    343.42x = 44,772.51
  5. Step 5: Solve for x
    x = 44,772.51/343.42
  6. Step 6: Final answer
    x = 130.37

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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.