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Finding the Fourth Proportional to 149.40, 204.03 and 147.78

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Solution

The fourth proportional to 149.40, 204.03 and 147.78 is: 201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.40 : 204.03 = 147.78 : x
  2. Step 2: Convert to fraction form
    149.40/204.03 = 147.78/x
  3. Step 3: Cross multiply
    149.40x = 204.03 × 147.78
  4. Step 4: Simplify right side
    149.40x = 30,151.55
  5. Step 5: Solve for x
    x = 30,151.55/149.40
  6. Step 6: Final answer
    x = 201.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.