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Finding the Fourth Proportional to 212.80, 293.88 and 176.23

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Solution

The fourth proportional to 212.80, 293.88 and 176.23 is: 243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.80 : 293.88 = 176.23 : x
  2. Step 2: Convert to fraction form
    212.80/293.88 = 176.23/x
  3. Step 3: Cross multiply
    212.80x = 293.88 × 176.23
  4. Step 4: Simplify right side
    212.80x = 51,790.47
  5. Step 5: Solve for x
    x = 51,790.47/212.80
  6. Step 6: Final answer
    x = 243.38

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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.