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Finding the Fourth Proportional to 233.71, 322.40 and 159.91

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Solution

The fourth proportional to 233.71, 322.40 and 159.91 is: 220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.71 : 322.40 = 159.91 : x
  2. Step 2: Convert to fraction form
    233.71/322.40 = 159.91/x
  3. Step 3: Cross multiply
    233.71x = 322.40 × 159.91
  4. Step 4: Simplify right side
    233.71x = 51,554.58
  5. Step 5: Solve for x
    x = 51,554.58/233.71
  6. Step 6: Final answer
    x = 220.59

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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.