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Finding the Fourth Proportional to 233.37, 322.07 and 204.21

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Solution

The fourth proportional to 233.37, 322.07 and 204.21 is: 281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.37 : 322.07 = 204.21 : x
  2. Step 2: Convert to fraction form
    233.37/322.07 = 204.21/x
  3. Step 3: Cross multiply
    233.37x = 322.07 × 204.21
  4. Step 4: Simplify right side
    233.37x = 65,768.89
  5. Step 5: Solve for x
    x = 65,768.89/233.37
  6. Step 6: Final answer
    x = 281.82

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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.