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Finding the Fourth Proportional to 339.68, 509.61 and 123.14

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Solution

The fourth proportional to 339.68, 509.61 and 123.14 is: 184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.68 : 509.61 = 123.14 : x
  2. Step 2: Convert to fraction form
    339.68/509.61 = 123.14/x
  3. Step 3: Cross multiply
    339.68x = 509.61 × 123.14
  4. Step 4: Simplify right side
    339.68x = 62,753.38
  5. Step 5: Solve for x
    x = 62,753.38/339.68
  6. Step 6: Final answer
    x = 184.74

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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.