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Finding the Fourth Proportional to 275.40, 380.16 and 201.54

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Solution

The fourth proportional to 275.40, 380.16 and 201.54 is: 278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.40 : 380.16 = 201.54 : x
  2. Step 2: Convert to fraction form
    275.40/380.16 = 201.54/x
  3. Step 3: Cross multiply
    275.40x = 380.16 × 201.54
  4. Step 4: Simplify right side
    275.40x = 76,617.45
  5. Step 5: Solve for x
    x = 76,617.45/275.40
  6. Step 6: Final answer
    x = 278.20

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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.