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Finding the Fourth Proportional to 342.16, 471.18 and 254.68

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Solution

The fourth proportional to 342.16, 471.18 and 254.68 is: 350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.16 : 471.18 = 254.68 : x
  2. Step 2: Convert to fraction form
    342.16/471.18 = 254.68/x
  3. Step 3: Cross multiply
    342.16x = 471.18 × 254.68
  4. Step 4: Simplify right side
    342.16x = 120,000.12
  5. Step 5: Solve for x
    x = 120,000.12/342.16
  6. Step 6: Final answer
    x = 350.71

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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.