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Finding the Fourth Proportional to 388.16, 581.92 and 160

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Solution

The fourth proportional to 388.16, 581.92 and 160 is: 239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.16 : 581.92 = 160 : x
  2. Step 2: Convert to fraction form
    388.16/581.92 = 160/x
  3. Step 3: Cross multiply
    388.16x = 581.92 × 160
  4. Step 4: Simplify right side
    388.16x = 93,107.20
  5. Step 5: Solve for x
    x = 93,107.20/388.16
  6. Step 6: Final answer
    x = 239.87

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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.