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Finding the Fourth Proportional to 257.55, 355.42 and 141.11

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Solution

The fourth proportional to 257.55, 355.42 and 141.11 is: 194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.55 : 355.42 = 141.11 : x
  2. Step 2: Convert to fraction form
    257.55/355.42 = 141.11/x
  3. Step 3: Cross multiply
    257.55x = 355.42 × 141.11
  4. Step 4: Simplify right side
    257.55x = 50,153.32
  5. Step 5: Solve for x
    x = 50,153.32/257.55
  6. Step 6: Final answer
    x = 194.74

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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.