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Finding the Fourth Proportional to 376.61, 564.62 and 160.02

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Solution

The fourth proportional to 376.61, 564.62 and 160.02 is: 239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.61 : 564.62 = 160.02 : x
  2. Step 2: Convert to fraction form
    376.61/564.62 = 160.02/x
  3. Step 3: Cross multiply
    376.61x = 564.62 × 160.02
  4. Step 4: Simplify right side
    376.61x = 90,349.69
  5. Step 5: Solve for x
    x = 90,349.69/376.61
  6. Step 6: Final answer
    x = 239.91

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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.