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Finding the Fourth Proportional to 379.61, 568.79 and 160.06

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Solution

The fourth proportional to 379.61, 568.79 and 160.06 is: 239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.61 : 568.79 = 160.06 : x
  2. Step 2: Convert to fraction form
    379.61/568.79 = 160.06/x
  3. Step 3: Cross multiply
    379.61x = 568.79 × 160.06
  4. Step 4: Simplify right side
    379.61x = 91,037.68
  5. Step 5: Solve for x
    x = 91,037.68/379.61
  6. Step 6: Final answer
    x = 239.82

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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.