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Finding the Fourth Proportional to 258.40, 387.32 and 129.88

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Solution

The fourth proportional to 258.40, 387.32 and 129.88 is: 194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.40 : 387.32 = 129.88 : x
  2. Step 2: Convert to fraction form
    258.40/387.32 = 129.88/x
  3. Step 3: Cross multiply
    258.40x = 387.32 × 129.88
  4. Step 4: Simplify right side
    258.40x = 50,303.19
  5. Step 5: Solve for x
    x = 50,303.19/258.40
  6. Step 6: Final answer
    x = 194.68

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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.