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Finding the Fourth Proportional to 213.74, 294.86 and 151.57

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Solution

The fourth proportional to 213.74, 294.86 and 151.57 is: 209.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.74 : 294.86 = 151.57 : x
  2. Step 2: Convert to fraction form
    213.74/294.86 = 151.57/x
  3. Step 3: Cross multiply
    213.74x = 294.86 × 151.57
  4. Step 4: Simplify right side
    213.74x = 44,691.93
  5. Step 5: Solve for x
    x = 44,691.93/213.74
  6. Step 6: Final answer
    x = 209.09

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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.