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Finding the Fourth Proportional to 379.10, 569.06 and 173.84

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Solution

The fourth proportional to 379.10, 569.06 and 173.84 is: 260.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.10 : 569.06 = 173.84 : x
  2. Step 2: Convert to fraction form
    379.10/569.06 = 173.84/x
  3. Step 3: Cross multiply
    379.10x = 569.06 × 173.84
  4. Step 4: Simplify right side
    379.10x = 98,922.33
  5. Step 5: Solve for x
    x = 98,922.33/379.10
  6. Step 6: Final answer
    x = 260.94

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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.