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Finding the Fourth Proportional to 258.44, 387.79 and 114.17

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Solution

The fourth proportional to 258.44, 387.79 and 114.17 is: 171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.44 : 387.79 = 114.17 : x
  2. Step 2: Convert to fraction form
    258.44/387.79 = 114.17/x
  3. Step 3: Cross multiply
    258.44x = 387.79 × 114.17
  4. Step 4: Simplify right side
    258.44x = 44,271.76
  5. Step 5: Solve for x
    x = 44,271.76/258.44
  6. Step 6: Final answer
    x = 171.31

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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.