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Finding the Fourth Proportional to 233.64, 322.20 and 204.48

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Solution

The fourth proportional to 233.64, 322.20 and 204.48 is: 281.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 322.20 = 204.48 : x
  2. Step 2: Convert to fraction form
    233.64/322.20 = 204.48/x
  3. Step 3: Cross multiply
    233.64x = 322.20 × 204.48
  4. Step 4: Simplify right side
    233.64x = 65,883.46
  5. Step 5: Solve for x
    x = 65,883.46/233.64
  6. Step 6: Final answer
    x = 281.99

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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.