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Finding the Fourth Proportional to 387.38, 581.16 and 113.48

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Solution

The fourth proportional to 387.38, 581.16 and 113.48 is: 170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.38 : 581.16 = 113.48 : x
  2. Step 2: Convert to fraction form
    387.38/581.16 = 113.48/x
  3. Step 3: Cross multiply
    387.38x = 581.16 × 113.48
  4. Step 4: Simplify right side
    387.38x = 65,950.04
  5. Step 5: Solve for x
    x = 65,950.04/387.38
  6. Step 6: Final answer
    x = 170.25

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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.