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Finding the Fourth Proportional to 342.32, 472.43 and 194.99

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Solution

The fourth proportional to 342.32, 472.43 and 194.99 is: 269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.32 : 472.43 = 194.99 : x
  2. Step 2: Convert to fraction form
    342.32/472.43 = 194.99/x
  3. Step 3: Cross multiply
    342.32x = 472.43 × 194.99
  4. Step 4: Simplify right side
    342.32x = 92,115.79
  5. Step 5: Solve for x
    x = 92,115.79/342.32
  6. Step 6: Final answer
    x = 269.10

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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.