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Finding the Fourth Proportional to 233.74, 322.41 and 140.46

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Solution

The fourth proportional to 233.74, 322.41 and 140.46 is: 193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.74 : 322.41 = 140.46 : x
  2. Step 2: Convert to fraction form
    233.74/322.41 = 140.46/x
  3. Step 3: Cross multiply
    233.74x = 322.41 × 140.46
  4. Step 4: Simplify right side
    233.74x = 45,285.71
  5. Step 5: Solve for x
    x = 45,285.71/233.74
  6. Step 6: Final answer
    x = 193.74

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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.