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Finding the Fourth Proportional to 342.68, 472.86 and 187.43

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Solution

The fourth proportional to 342.68, 472.86 and 187.43 is: 258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.68 : 472.86 = 187.43 : x
  2. Step 2: Convert to fraction form
    342.68/472.86 = 187.43/x
  3. Step 3: Cross multiply
    342.68x = 472.86 × 187.43
  4. Step 4: Simplify right side
    342.68x = 88,625.79
  5. Step 5: Solve for x
    x = 88,625.79/342.68
  6. Step 6: Final answer
    x = 258.63

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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.