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Finding the Fourth Proportional to 232.93, 322.14 and 203.77

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Solution

The fourth proportional to 232.93, 322.14 and 203.77 is: 281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.93 : 322.14 = 203.77 : x
  2. Step 2: Convert to fraction form
    232.93/322.14 = 203.77/x
  3. Step 3: Cross multiply
    232.93x = 322.14 × 203.77
  4. Step 4: Simplify right side
    232.93x = 65,642.47
  5. Step 5: Solve for x
    x = 65,642.47/232.93
  6. Step 6: Final answer
    x = 281.81

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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.