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Finding the Fourth Proportional to 257.87, 355.37 and 211.02

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Solution

The fourth proportional to 257.87, 355.37 and 211.02 is: 290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.87 : 355.37 = 211.02 : x
  2. Step 2: Convert to fraction form
    257.87/355.37 = 211.02/x
  3. Step 3: Cross multiply
    257.87x = 355.37 × 211.02
  4. Step 4: Simplify right side
    257.87x = 74,989.12
  5. Step 5: Solve for x
    x = 74,989.12/257.87
  6. Step 6: Final answer
    x = 290.81

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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.