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Finding the Fourth Proportional to 233.16, 320.82 and 213.96

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Solution

The fourth proportional to 233.16, 320.82 and 213.96 is: 294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.16 : 320.82 = 213.96 : x
  2. Step 2: Convert to fraction form
    233.16/320.82 = 213.96/x
  3. Step 3: Cross multiply
    233.16x = 320.82 × 213.96
  4. Step 4: Simplify right side
    233.16x = 68,642.65
  5. Step 5: Solve for x
    x = 68,642.65/233.16
  6. Step 6: Final answer
    x = 294.40

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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.