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Finding the Fourth Proportional to 257.16, 355.08 and 238.74

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Solution

The fourth proportional to 257.16, 355.08 and 238.74 is: 329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.16 : 355.08 = 238.74 : x
  2. Step 2: Convert to fraction form
    257.16/355.08 = 238.74/x
  3. Step 3: Cross multiply
    257.16x = 355.08 × 238.74
  4. Step 4: Simplify right side
    257.16x = 84,771.80
  5. Step 5: Solve for x
    x = 84,771.80/257.16
  6. Step 6: Final answer
    x = 329.65

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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.