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Finding the Fourth Proportional to 258.34, 387.55 and 162.82

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Solution

The fourth proportional to 258.34, 387.55 and 162.82 is: 244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.34 : 387.55 = 162.82 : x
  2. Step 2: Convert to fraction form
    258.34/387.55 = 162.82/x
  3. Step 3: Cross multiply
    258.34x = 387.55 × 162.82
  4. Step 4: Simplify right side
    258.34x = 63,100.89
  5. Step 5: Solve for x
    x = 63,100.89/258.34
  6. Step 6: Final answer
    x = 244.26

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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.