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Finding the Fourth Proportional to 342.11, 472.10 and 186.86

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Solution

The fourth proportional to 342.11, 472.10 and 186.86 is: 257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.11 : 472.10 = 186.86 : x
  2. Step 2: Convert to fraction form
    342.11/472.10 = 186.86/x
  3. Step 3: Cross multiply
    342.11x = 472.10 × 186.86
  4. Step 4: Simplify right side
    342.11x = 88,213.31
  5. Step 5: Solve for x
    x = 88,213.31/342.11
  6. Step 6: Final answer
    x = 257.85

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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.