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Finding the Fourth Proportional to 346.10, 519.14 and 102.65

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Solution

The fourth proportional to 346.10, 519.14 and 102.65 is: 153.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.10 : 519.14 = 102.65 : x
  2. Step 2: Convert to fraction form
    346.10/519.14 = 102.65/x
  3. Step 3: Cross multiply
    346.10x = 519.14 × 102.65
  4. Step 4: Simplify right side
    346.10x = 53,286.61
  5. Step 5: Solve for x
    x = 53,286.61/346.10
  6. Step 6: Final answer
    x = 153.97

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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.