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Finding the Fourth Proportional to 269.52, 372.38 and 214.66

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Solution

The fourth proportional to 269.52, 372.38 and 214.66 is: 296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.52 : 372.38 = 214.66 : x
  2. Step 2: Convert to fraction form
    269.52/372.38 = 214.66/x
  3. Step 3: Cross multiply
    269.52x = 372.38 × 214.66
  4. Step 4: Simplify right side
    269.52x = 79,935.09
  5. Step 5: Solve for x
    x = 79,935.09/269.52
  6. Step 6: Final answer
    x = 296.58

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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.