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Finding the Fourth Proportional to 376.61, 564.71 and 160.34

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Solution

The fourth proportional to 376.61, 564.71 and 160.34 is: 240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.61 : 564.71 = 160.34 : x
  2. Step 2: Convert to fraction form
    376.61/564.71 = 160.34/x
  3. Step 3: Cross multiply
    376.61x = 564.71 × 160.34
  4. Step 4: Simplify right side
    376.61x = 90,541.98
  5. Step 5: Solve for x
    x = 90,541.98/376.61
  6. Step 6: Final answer
    x = 240.42

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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.