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Finding the Fourth Proportional to 233.66, 322.38 and 140.40

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Solution

The fourth proportional to 233.66, 322.38 and 140.40 is: 193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.66 : 322.38 = 140.40 : x
  2. Step 2: Convert to fraction form
    233.66/322.38 = 140.40/x
  3. Step 3: Cross multiply
    233.66x = 322.38 × 140.40
  4. Step 4: Simplify right side
    233.66x = 45,262.15
  5. Step 5: Solve for x
    x = 45,262.15/233.66
  6. Step 6: Final answer
    x = 193.71

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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.