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Finding the Fourth Proportional to 232.23, 320.52 and 153.52

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Solution

The fourth proportional to 232.23, 320.52 and 153.52 is: 211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.23 : 320.52 = 153.52 : x
  2. Step 2: Convert to fraction form
    232.23/320.52 = 153.52/x
  3. Step 3: Cross multiply
    232.23x = 320.52 × 153.52
  4. Step 4: Simplify right side
    232.23x = 49,206.23
  5. Step 5: Solve for x
    x = 49,206.23/232.23
  6. Step 6: Final answer
    x = 211.89

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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.