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Finding the Fourth Proportional to 233.46, 322.24 and 159.76

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Solution

The fourth proportional to 233.46, 322.24 and 159.76 is: 220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.46 : 322.24 = 159.76 : x
  2. Step 2: Convert to fraction form
    233.46/322.24 = 159.76/x
  3. Step 3: Cross multiply
    233.46x = 322.24 × 159.76
  4. Step 4: Simplify right side
    233.46x = 51,481.06
  5. Step 5: Solve for x
    x = 51,481.06/233.46
  6. Step 6: Final answer
    x = 220.51

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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.