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Finding the Fourth Proportional to 257.92, 355.62 and 184.18

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Solution

The fourth proportional to 257.92, 355.62 and 184.18 is: 253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.92 : 355.62 = 184.18 : x
  2. Step 2: Convert to fraction form
    257.92/355.62 = 184.18/x
  3. Step 3: Cross multiply
    257.92x = 355.62 × 184.18
  4. Step 4: Simplify right side
    257.92x = 65,498.09
  5. Step 5: Solve for x
    x = 65,498.09/257.92
  6. Step 6: Final answer
    x = 253.95

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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.