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Finding the Fourth Proportional to 346.18, 519.20 and 102.74

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Solution

The fourth proportional to 346.18, 519.20 and 102.74 is: 154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.18 : 519.20 = 102.74 : x
  2. Step 2: Convert to fraction form
    346.18/519.20 = 102.74/x
  3. Step 3: Cross multiply
    346.18x = 519.20 × 102.74
  4. Step 4: Simplify right side
    346.18x = 53,342.61
  5. Step 5: Solve for x
    x = 53,342.61/346.18
  6. Step 6: Final answer
    x = 154.09

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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.