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Finding the Fourth Proportional to 201.27, 278.10 and 146.19

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Solution

The fourth proportional to 201.27, 278.10 and 146.19 is: 201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.27 : 278.10 = 146.19 : x
  2. Step 2: Convert to fraction form
    201.27/278.10 = 146.19/x
  3. Step 3: Cross multiply
    201.27x = 278.10 × 146.19
  4. Step 4: Simplify right side
    201.27x = 40,655.44
  5. Step 5: Solve for x
    x = 40,655.44/201.27
  6. Step 6: Final answer
    x = 201.99

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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.