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Finding the Fourth Proportional to 342.10, 472.14 and 194.75

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Solution

The fourth proportional to 342.10, 472.14 and 194.75 is: 268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.10 : 472.14 = 194.75 : x
  2. Step 2: Convert to fraction form
    342.10/472.14 = 194.75/x
  3. Step 3: Cross multiply
    342.10x = 472.14 × 194.75
  4. Step 4: Simplify right side
    342.10x = 91,946.90
  5. Step 5: Solve for x
    x = 91,946.90/342.10
  6. Step 6: Final answer
    x = 268.77

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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.