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Finding the Fourth Proportional to 149.04, 204.30 and 146.52

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Solution

The fourth proportional to 149.04, 204.30 and 146.52 is: 200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.04 : 204.30 = 146.52 : x
  2. Step 2: Convert to fraction form
    149.04/204.30 = 146.52/x
  3. Step 3: Cross multiply
    149.04x = 204.30 × 146.52
  4. Step 4: Simplify right side
    149.04x = 29,934.04
  5. Step 5: Solve for x
    x = 29,934.04/149.04
  6. Step 6: Final answer
    x = 200.85

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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.