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Finding the Fourth Proportional to 224.32, 309.69 and 146.83

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Solution

The fourth proportional to 224.32, 309.69 and 146.83 is: 202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.32 : 309.69 = 146.83 : x
  2. Step 2: Convert to fraction form
    224.32/309.69 = 146.83/x
  3. Step 3: Cross multiply
    224.32x = 309.69 × 146.83
  4. Step 4: Simplify right side
    224.32x = 45,469.50
  5. Step 5: Solve for x
    x = 45,469.50/224.32
  6. Step 6: Final answer
    x = 202.70

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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.