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Finding the Fourth Proportional to 258.90, 387.84 and 167.82

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Solution

The fourth proportional to 258.90, 387.84 and 167.82 is: 251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.90 : 387.84 = 167.82 : x
  2. Step 2: Convert to fraction form
    258.90/387.84 = 167.82/x
  3. Step 3: Cross multiply
    258.90x = 387.84 × 167.82
  4. Step 4: Simplify right side
    258.90x = 65,087.31
  5. Step 5: Solve for x
    x = 65,087.31/258.90
  6. Step 6: Final answer
    x = 251.40

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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.