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Finding the Fourth Proportional to 224.66, 309.87 and 146.09

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Solution

The fourth proportional to 224.66, 309.87 and 146.09 is: 201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.66 : 309.87 = 146.09 : x
  2. Step 2: Convert to fraction form
    224.66/309.87 = 146.09/x
  3. Step 3: Cross multiply
    224.66x = 309.87 × 146.09
  4. Step 4: Simplify right side
    224.66x = 45,267.36
  5. Step 5: Solve for x
    x = 45,267.36/224.66
  6. Step 6: Final answer
    x = 201.50

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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.