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Finding the Fourth Proportional to 342.17, 471.85 and 217.78

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Solution

The fourth proportional to 342.17, 471.85 and 217.78 is: 300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.17 : 471.85 = 217.78 : x
  2. Step 2: Convert to fraction form
    342.17/471.85 = 217.78/x
  3. Step 3: Cross multiply
    342.17x = 471.85 × 217.78
  4. Step 4: Simplify right side
    342.17x = 102,758.63
  5. Step 5: Solve for x
    x = 102,758.63/342.17
  6. Step 6: Final answer
    x = 300.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.