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Finding the Fourth Proportional to 232.93, 322.14 and 204.58

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Solution

The fourth proportional to 232.93, 322.14 and 204.58 is: 282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.93 : 322.14 = 204.58 : x
  2. Step 2: Convert to fraction form
    232.93/322.14 = 204.58/x
  3. Step 3: Cross multiply
    232.93x = 322.14 × 204.58
  4. Step 4: Simplify right side
    232.93x = 65,903.40
  5. Step 5: Solve for x
    x = 65,903.40/232.93
  6. Step 6: Final answer
    x = 282.93

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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.