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Finding the Fourth Proportional to 257.90, 356.08 and 211.82

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Solution

The fourth proportional to 257.90, 356.08 and 211.82 is: 292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.90 : 356.08 = 211.82 : x
  2. Step 2: Convert to fraction form
    257.90/356.08 = 211.82/x
  3. Step 3: Cross multiply
    257.90x = 356.08 × 211.82
  4. Step 4: Simplify right side
    257.90x = 75,424.87
  5. Step 5: Solve for x
    x = 75,424.87/257.90
  6. Step 6: Final answer
    x = 292.46

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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.