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Finding the Fourth Proportional to 376.91, 565.37 and 160.46

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Solution

The fourth proportional to 376.91, 565.37 and 160.46 is: 240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.91 : 565.37 = 160.46 : x
  2. Step 2: Convert to fraction form
    376.91/565.37 = 160.46/x
  3. Step 3: Cross multiply
    376.91x = 565.37 × 160.46
  4. Step 4: Simplify right side
    376.91x = 90,718.47
  5. Step 5: Solve for x
    x = 90,718.47/376.91
  6. Step 6: Final answer
    x = 240.69

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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.