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Finding the Fourth Proportional to 232.98, 320.81 and 211.01

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Solution

The fourth proportional to 232.98, 320.81 and 211.01 is: 290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.98 : 320.81 = 211.01 : x
  2. Step 2: Convert to fraction form
    232.98/320.81 = 211.01/x
  3. Step 3: Cross multiply
    232.98x = 320.81 × 211.01
  4. Step 4: Simplify right side
    232.98x = 67,691.46
  5. Step 5: Solve for x
    x = 67,691.46/232.98
  6. Step 6: Final answer
    x = 290.55

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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.