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Finding the Fourth Proportional to 224.91, 310.50 and 142.16

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Solution

The fourth proportional to 224.91, 310.50 and 142.16 is: 196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.91 : 310.50 = 142.16 : x
  2. Step 2: Convert to fraction form
    224.91/310.50 = 142.16/x
  3. Step 3: Cross multiply
    224.91x = 310.50 × 142.16
  4. Step 4: Simplify right side
    224.91x = 44,139.13
  5. Step 5: Solve for x
    x = 44,139.13/224.91
  6. Step 6: Final answer
    x = 196.25

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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.