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Finding the Fourth Proportional to 257.74, 356.14 and 183.93

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Solution

The fourth proportional to 257.74, 356.14 and 183.93 is: 254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.74 : 356.14 = 183.93 : x
  2. Step 2: Convert to fraction form
    257.74/356.14 = 183.93/x
  3. Step 3: Cross multiply
    257.74x = 356.14 × 183.93
  4. Step 4: Simplify right side
    257.74x = 65,504.83
  5. Step 5: Solve for x
    x = 65,504.83/257.74
  6. Step 6: Final answer
    x = 254.15

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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.