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Finding the Fourth Proportional to 233.68, 322.39 and 159.09

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Solution

The fourth proportional to 233.68, 322.39 and 159.09 is: 219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.68 : 322.39 = 159.09 : x
  2. Step 2: Convert to fraction form
    233.68/322.39 = 159.09/x
  3. Step 3: Cross multiply
    233.68x = 322.39 × 159.09
  4. Step 4: Simplify right side
    233.68x = 51,288.63
  5. Step 5: Solve for x
    x = 51,288.63/233.68
  6. Step 6: Final answer
    x = 219.48

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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.