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Finding the Fourth Proportional to 258.34, 387.38 and 114

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Solution

The fourth proportional to 258.34, 387.38 and 114 is: 170.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.34 : 387.38 = 114 : x
  2. Step 2: Convert to fraction form
    258.34/387.38 = 114/x
  3. Step 3: Cross multiply
    258.34x = 387.38 × 114
  4. Step 4: Simplify right side
    258.34x = 44,161.32
  5. Step 5: Solve for x
    x = 44,161.32/258.34
  6. Step 6: Final answer
    x = 170.94

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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.