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Finding the Fourth Proportional to 258.71, 388.01 and 76.05

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Solution

The fourth proportional to 258.71, 388.01 and 76.05 is: 114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.71 : 388.01 = 76.05 : x
  2. Step 2: Convert to fraction form
    258.71/388.01 = 76.05/x
  3. Step 3: Cross multiply
    258.71x = 388.01 × 76.05
  4. Step 4: Simplify right side
    258.71x = 29,507.78
  5. Step 5: Solve for x
    x = 29,507.78/258.71
  6. Step 6: Final answer
    x = 114.06

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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.