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Finding the Fourth Proportional to 233.78, 322.66 and 140.60

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Solution

The fourth proportional to 233.78, 322.66 and 140.60 is: 194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.78 : 322.66 = 140.60 : x
  2. Step 2: Convert to fraction form
    233.78/322.66 = 140.60/x
  3. Step 3: Cross multiply
    233.78x = 322.66 × 140.60
  4. Step 4: Simplify right side
    233.78x = 45,366.00
  5. Step 5: Solve for x
    x = 45,366.00/233.78
  6. Step 6: Final answer
    x = 194.06

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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.