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Finding the Fourth Proportional to 345.98, 519.18 and 129.56

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Solution

The fourth proportional to 345.98, 519.18 and 129.56 is: 194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.98 : 519.18 = 129.56 : x
  2. Step 2: Convert to fraction form
    345.98/519.18 = 129.56/x
  3. Step 3: Cross multiply
    345.98x = 519.18 × 129.56
  4. Step 4: Simplify right side
    345.98x = 67,264.96
  5. Step 5: Solve for x
    x = 67,264.96/345.98
  6. Step 6: Final answer
    x = 194.42

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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.