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Finding the Fourth Proportional to 233.49, 322.17 and 198.66

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Solution

The fourth proportional to 233.49, 322.17 and 198.66 is: 274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.49 : 322.17 = 198.66 : x
  2. Step 2: Convert to fraction form
    233.49/322.17 = 198.66/x
  3. Step 3: Cross multiply
    233.49x = 322.17 × 198.66
  4. Step 4: Simplify right side
    233.49x = 64,002.29
  5. Step 5: Solve for x
    x = 64,002.29/233.49
  6. Step 6: Final answer
    x = 274.11

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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.