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Finding the Fourth Proportional to 258.74, 387.75 and 128.62

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Solution

The fourth proportional to 258.74, 387.75 and 128.62 is: 192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.74 : 387.75 = 128.62 : x
  2. Step 2: Convert to fraction form
    258.74/387.75 = 128.62/x
  3. Step 3: Cross multiply
    258.74x = 387.75 × 128.62
  4. Step 4: Simplify right side
    258.74x = 49,871.56
  5. Step 5: Solve for x
    x = 49,871.56/258.74
  6. Step 6: Final answer
    x = 192.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.