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Finding the Fourth Proportional to 275.10, 379.71 and 201.66

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Solution

The fourth proportional to 275.10, 379.71 and 201.66 is: 278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.10 : 379.71 = 201.66 : x
  2. Step 2: Convert to fraction form
    275.10/379.71 = 201.66/x
  3. Step 3: Cross multiply
    275.10x = 379.71 × 201.66
  4. Step 4: Simplify right side
    275.10x = 76,572.32
  5. Step 5: Solve for x
    x = 76,572.32/275.10
  6. Step 6: Final answer
    x = 278.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.