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Finding the Fourth Proportional to 224.05, 309.11 and 145.46

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Solution

The fourth proportional to 224.05, 309.11 and 145.46 is: 200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.05 : 309.11 = 145.46 : x
  2. Step 2: Convert to fraction form
    224.05/309.11 = 145.46/x
  3. Step 3: Cross multiply
    224.05x = 309.11 × 145.46
  4. Step 4: Simplify right side
    224.05x = 44,962.78
  5. Step 5: Solve for x
    x = 44,962.78/224.05
  6. Step 6: Final answer
    x = 200.68

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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.