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Finding the Fourth Proportional to 379.24, 569.10 and 186.84

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Solution

The fourth proportional to 379.24, 569.10 and 186.84 is: 280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.24 : 569.10 = 186.84 : x
  2. Step 2: Convert to fraction form
    379.24/569.10 = 186.84/x
  3. Step 3: Cross multiply
    379.24x = 569.10 × 186.84
  4. Step 4: Simplify right side
    379.24x = 106,330.64
  5. Step 5: Solve for x
    x = 106,330.64/379.24
  6. Step 6: Final answer
    x = 280.38

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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.