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Finding the Fourth Proportional to 204.66, 307.07 and 149.87

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Solution

The fourth proportional to 204.66, 307.07 and 149.87 is: 224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.66 : 307.07 = 149.87 : x
  2. Step 2: Convert to fraction form
    204.66/307.07 = 149.87/x
  3. Step 3: Cross multiply
    204.66x = 307.07 × 149.87
  4. Step 4: Simplify right side
    204.66x = 46,018.30
  5. Step 5: Solve for x
    x = 46,018.30/204.66
  6. Step 6: Final answer
    x = 224.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.