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Finding the Fourth Proportional to 379.68, 569.60 and 123.20

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Solution

The fourth proportional to 379.68, 569.60 and 123.20 is: 184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.68 : 569.60 = 123.20 : x
  2. Step 2: Convert to fraction form
    379.68/569.60 = 123.20/x
  3. Step 3: Cross multiply
    379.68x = 569.60 × 123.20
  4. Step 4: Simplify right side
    379.68x = 70,174.72
  5. Step 5: Solve for x
    x = 70,174.72/379.68
  6. Step 6: Final answer
    x = 184.83

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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.