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Finding the Fourth Proportional to 224.78, 310.10 and 142.02

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Solution

The fourth proportional to 224.78, 310.10 and 142.02 is: 195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.78 : 310.10 = 142.02 : x
  2. Step 2: Convert to fraction form
    224.78/310.10 = 142.02/x
  3. Step 3: Cross multiply
    224.78x = 310.10 × 142.02
  4. Step 4: Simplify right side
    224.78x = 44,039.69
  5. Step 5: Solve for x
    x = 44,039.69/224.78
  6. Step 6: Final answer
    x = 195.93

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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.