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Finding the Fourth Proportional to 258.50, 387.84 and 114.20

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Solution

The fourth proportional to 258.50, 387.84 and 114.20 is: 171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.50 : 387.84 = 114.20 : x
  2. Step 2: Convert to fraction form
    258.50/387.84 = 114.20/x
  3. Step 3: Cross multiply
    258.50x = 387.84 × 114.20
  4. Step 4: Simplify right side
    258.50x = 44,291.33
  5. Step 5: Solve for x
    x = 44,291.33/258.50
  6. Step 6: Final answer
    x = 171.34

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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.