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Finding the Fourth Proportional to 257.91, 355.71 and 211.20

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Solution

The fourth proportional to 257.91, 355.71 and 211.20 is: 291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.91 : 355.71 = 211.20 : x
  2. Step 2: Convert to fraction form
    257.91/355.71 = 211.20/x
  3. Step 3: Cross multiply
    257.91x = 355.71 × 211.20
  4. Step 4: Simplify right side
    257.91x = 75,125.95
  5. Step 5: Solve for x
    x = 75,125.95/257.91
  6. Step 6: Final answer
    x = 291.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.