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Finding the Fourth Proportional to 343.08, 514.17 and 147.85

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Solution

The fourth proportional to 343.08, 514.17 and 147.85 is: 221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.08 : 514.17 = 147.85 : x
  2. Step 2: Convert to fraction form
    343.08/514.17 = 147.85/x
  3. Step 3: Cross multiply
    343.08x = 514.17 × 147.85
  4. Step 4: Simplify right side
    343.08x = 76,018.75
  5. Step 5: Solve for x
    x = 76,018.75/343.08
  6. Step 6: Final answer
    x = 221.58

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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.