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Finding the Fourth Proportional to 233.78, 322.38 and 140.54

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Solution

The fourth proportional to 233.78, 322.38 and 140.54 is: 193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.78 : 322.38 = 140.54 : x
  2. Step 2: Convert to fraction form
    233.78/322.38 = 140.54/x
  3. Step 3: Cross multiply
    233.78x = 322.38 × 140.54
  4. Step 4: Simplify right side
    233.78x = 45,305.67
  5. Step 5: Solve for x
    x = 45,305.67/233.78
  6. Step 6: Final answer
    x = 193.80

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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.