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Finding the Fourth Proportional to 342.32, 472.40 and 194.96

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Solution

The fourth proportional to 342.32, 472.40 and 194.96 is: 269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.32 : 472.40 = 194.96 : x
  2. Step 2: Convert to fraction form
    342.32/472.40 = 194.96/x
  3. Step 3: Cross multiply
    342.32x = 472.40 × 194.96
  4. Step 4: Simplify right side
    342.32x = 92,099.10
  5. Step 5: Solve for x
    x = 92,099.10/342.32
  6. Step 6: Final answer
    x = 269.04

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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.