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Finding the Fourth Proportional to 342.66, 471.87 and 255.18

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Solution

The fourth proportional to 342.66, 471.87 and 255.18 is: 351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.66 : 471.87 = 255.18 : x
  2. Step 2: Convert to fraction form
    342.66/471.87 = 255.18/x
  3. Step 3: Cross multiply
    342.66x = 471.87 × 255.18
  4. Step 4: Simplify right side
    342.66x = 120,411.79
  5. Step 5: Solve for x
    x = 120,411.79/342.66
  6. Step 6: Final answer
    x = 351.40

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