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Finding the Fourth Proportional to 258.67, 387.91 and 76.06

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Solution

The fourth proportional to 258.67, 387.91 and 76.06 is: 114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.67 : 387.91 = 76.06 : x
  2. Step 2: Convert to fraction form
    258.67/387.91 = 76.06/x
  3. Step 3: Cross multiply
    258.67x = 387.91 × 76.06
  4. Step 4: Simplify right side
    258.67x = 29,506.32
  5. Step 5: Solve for x
    x = 29,506.32/258.67
  6. Step 6: Final answer
    x = 114.07

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Why These Related Problems?

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