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Finding the Fourth Proportional to 258.48, 387.74 and 96.16

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Solution

The fourth proportional to 258.48, 387.74 and 96.16 is: 144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.48 : 387.74 = 96.16 : x
  2. Step 2: Convert to fraction form
    258.48/387.74 = 96.16/x
  3. Step 3: Cross multiply
    258.48x = 387.74 × 96.16
  4. Step 4: Simplify right side
    258.48x = 37,285.08
  5. Step 5: Solve for x
    x = 37,285.08/258.48
  6. Step 6: Final answer
    x = 144.25

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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.