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Finding the Fourth Proportional to 342.65, 472.76 and 195.28

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Solution

The fourth proportional to 342.65, 472.76 and 195.28 is: 269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.65 : 472.76 = 195.28 : x
  2. Step 2: Convert to fraction form
    342.65/472.76 = 195.28/x
  3. Step 3: Cross multiply
    342.65x = 472.76 × 195.28
  4. Step 4: Simplify right side
    342.65x = 92,319.15
  5. Step 5: Solve for x
    x = 92,319.15/342.65
  6. Step 6: Final answer
    x = 269.42

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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.