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Finding the Fourth Proportional to 379.80, 569.56 and 148.68

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Solution

The fourth proportional to 379.80, 569.56 and 148.68 is: 222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.80 : 569.56 = 148.68 : x
  2. Step 2: Convert to fraction form
    379.80/569.56 = 148.68/x
  3. Step 3: Cross multiply
    379.80x = 569.56 × 148.68
  4. Step 4: Simplify right side
    379.80x = 84,682.18
  5. Step 5: Solve for x
    x = 84,682.18/379.80
  6. Step 6: Final answer
    x = 222.97

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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.