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Finding the Fourth Proportional to 379.76, 569.66 and 105.84

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Solution

The fourth proportional to 379.76, 569.66 and 105.84 is: 158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.76 : 569.66 = 105.84 : x
  2. Step 2: Convert to fraction form
    379.76/569.66 = 105.84/x
  3. Step 3: Cross multiply
    379.76x = 569.66 × 105.84
  4. Step 4: Simplify right side
    379.76x = 60,292.29
  5. Step 5: Solve for x
    x = 60,292.29/379.76
  6. Step 6: Final answer
    x = 158.77

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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.