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Finding the Fourth Proportional to 376.62, 564.95 and 160.21

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Solution

The fourth proportional to 376.62, 564.95 and 160.21 is: 240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.62 : 564.95 = 160.21 : x
  2. Step 2: Convert to fraction form
    376.62/564.95 = 160.21/x
  3. Step 3: Cross multiply
    376.62x = 564.95 × 160.21
  4. Step 4: Simplify right side
    376.62x = 90,510.64
  5. Step 5: Solve for x
    x = 90,510.64/376.62
  6. Step 6: Final answer
    x = 240.32

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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.