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Finding the Fourth Proportional to 233.98, 322.92 and 140.74

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Solution

The fourth proportional to 233.98, 322.92 and 140.74 is: 194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.98 : 322.92 = 140.74 : x
  2. Step 2: Convert to fraction form
    233.98/322.92 = 140.74/x
  3. Step 3: Cross multiply
    233.98x = 322.92 × 140.74
  4. Step 4: Simplify right side
    233.98x = 45,447.76
  5. Step 5: Solve for x
    x = 45,447.76/233.98
  6. Step 6: Final answer
    x = 194.24

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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.