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Finding the Fourth Proportional to 379.68, 569.14 and 160.28

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Solution

The fourth proportional to 379.68, 569.14 and 160.28 is: 240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.68 : 569.14 = 160.28 : x
  2. Step 2: Convert to fraction form
    379.68/569.14 = 160.28/x
  3. Step 3: Cross multiply
    379.68x = 569.14 × 160.28
  4. Step 4: Simplify right side
    379.68x = 91,221.76
  5. Step 5: Solve for x
    x = 91,221.76/379.68
  6. Step 6: Final answer
    x = 240.26

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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.