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Finding the Fourth Proportional to 342.76, 514.24 and 137.42

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Solution

The fourth proportional to 342.76, 514.24 and 137.42 is: 206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.76 : 514.24 = 137.42 : x
  2. Step 2: Convert to fraction form
    342.76/514.24 = 137.42/x
  3. Step 3: Cross multiply
    342.76x = 514.24 × 137.42
  4. Step 4: Simplify right side
    342.76x = 70,666.86
  5. Step 5: Solve for x
    x = 70,666.86/342.76
  6. Step 6: Final answer
    x = 206.17

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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.