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Finding the Fourth Proportional to 258.04, 387.12 and 113.77

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Solution

The fourth proportional to 258.04, 387.12 and 113.77 is: 170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.04 : 387.12 = 113.77 : x
  2. Step 2: Convert to fraction form
    258.04/387.12 = 113.77/x
  3. Step 3: Cross multiply
    258.04x = 387.12 × 113.77
  4. Step 4: Simplify right side
    258.04x = 44,042.64
  5. Step 5: Solve for x
    x = 44,042.64/258.04
  6. Step 6: Final answer
    x = 170.68

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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.