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Finding the Fourth Proportional to 213.28, 294.31 and 124.77

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Solution

The fourth proportional to 213.28, 294.31 and 124.77 is: 172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.28 : 294.31 = 124.77 : x
  2. Step 2: Convert to fraction form
    213.28/294.31 = 124.77/x
  3. Step 3: Cross multiply
    213.28x = 294.31 × 124.77
  4. Step 4: Simplify right side
    213.28x = 36,720.75
  5. Step 5: Solve for x
    x = 36,720.75/213.28
  6. Step 6: Final answer
    x = 172.17

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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.