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Finding the Fourth Proportional to 346.23, 519.14 and 129.83

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Solution

The fourth proportional to 346.23, 519.14 and 129.83 is: 194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.23 : 519.14 = 129.83 : x
  2. Step 2: Convert to fraction form
    346.23/519.14 = 129.83/x
  3. Step 3: Cross multiply
    346.23x = 519.14 × 129.83
  4. Step 4: Simplify right side
    346.23x = 67,397.68
  5. Step 5: Solve for x
    x = 67,397.68/346.23
  6. Step 6: Final answer
    x = 194.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.