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Finding the Fourth Proportional to 233.77, 322.49 and 140.46

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Solution

The fourth proportional to 233.77, 322.49 and 140.46 is: 193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.77 : 322.49 = 140.46 : x
  2. Step 2: Convert to fraction form
    233.77/322.49 = 140.46/x
  3. Step 3: Cross multiply
    233.77x = 322.49 × 140.46
  4. Step 4: Simplify right side
    233.77x = 45,296.95
  5. Step 5: Solve for x
    x = 45,296.95/233.77
  6. Step 6: Final answer
    x = 193.77

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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.