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Finding the Fourth Proportional to 213.69, 294.90 and 176.78

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Solution

The fourth proportional to 213.69, 294.90 and 176.78 is: 243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.69 : 294.90 = 176.78 : x
  2. Step 2: Convert to fraction form
    213.69/294.90 = 176.78/x
  3. Step 3: Cross multiply
    213.69x = 294.90 × 176.78
  4. Step 4: Simplify right side
    213.69x = 52,133.74
  5. Step 5: Solve for x
    x = 52,133.74/213.69
  6. Step 6: Final answer
    x = 243.97

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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.