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Finding the Fourth Proportional to 201.47, 277.76 and 149.05

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Solution

The fourth proportional to 201.47, 277.76 and 149.05 is: 205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.47 : 277.76 = 149.05 : x
  2. Step 2: Convert to fraction form
    201.47/277.76 = 149.05/x
  3. Step 3: Cross multiply
    201.47x = 277.76 × 149.05
  4. Step 4: Simplify right side
    201.47x = 41,397.99
  5. Step 5: Solve for x
    x = 41,397.99/201.47
  6. Step 6: Final answer
    x = 205.48

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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.