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Finding the Fourth Proportional to 379.22, 569.08 and 135.74

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Solution

The fourth proportional to 379.22, 569.08 and 135.74 is: 203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.22 : 569.08 = 135.74 : x
  2. Step 2: Convert to fraction form
    379.22/569.08 = 135.74/x
  3. Step 3: Cross multiply
    379.22x = 569.08 × 135.74
  4. Step 4: Simplify right side
    379.22x = 77,248.51
  5. Step 5: Solve for x
    x = 77,248.51/379.22
  6. Step 6: Final answer
    x = 203.71

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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.