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Finding the Fourth Proportional to 257.61, 355.50 and 141.17

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Solution

The fourth proportional to 257.61, 355.50 and 141.17 is: 194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.61 : 355.50 = 141.17 : x
  2. Step 2: Convert to fraction form
    257.61/355.50 = 141.17/x
  3. Step 3: Cross multiply
    257.61x = 355.50 × 141.17
  4. Step 4: Simplify right side
    257.61x = 50,185.23
  5. Step 5: Solve for x
    x = 50,185.23/257.61
  6. Step 6: Final answer
    x = 194.81

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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.