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Finding the Fourth Proportional to 233.85, 322.62 and 140.59

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Solution

The fourth proportional to 233.85, 322.62 and 140.59 is: 193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.85 : 322.62 = 140.59 : x
  2. Step 2: Convert to fraction form
    233.85/322.62 = 140.59/x
  3. Step 3: Cross multiply
    233.85x = 322.62 × 140.59
  4. Step 4: Simplify right side
    233.85x = 45,357.15
  5. Step 5: Solve for x
    x = 45,357.15/233.85
  6. Step 6: Final answer
    x = 193.96

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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.