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Finding the Fourth Proportional to 234.02, 322.91 and 140.75

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Solution

The fourth proportional to 234.02, 322.91 and 140.75 is: 194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.02 : 322.91 = 140.75 : x
  2. Step 2: Convert to fraction form
    234.02/322.91 = 140.75/x
  3. Step 3: Cross multiply
    234.02x = 322.91 × 140.75
  4. Step 4: Simplify right side
    234.02x = 45,449.58
  5. Step 5: Solve for x
    x = 45,449.58/234.02
  6. Step 6: Final answer
    x = 194.21

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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.