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Finding the Fourth Proportional to 233.12, 321.80 and 210.89

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Solution

The fourth proportional to 233.12, 321.80 and 210.89 is: 291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.12 : 321.80 = 210.89 : x
  2. Step 2: Convert to fraction form
    233.12/321.80 = 210.89/x
  3. Step 3: Cross multiply
    233.12x = 321.80 × 210.89
  4. Step 4: Simplify right side
    233.12x = 67,861.74
  5. Step 5: Solve for x
    x = 67,861.74/233.12
  6. Step 6: Final answer
    x = 291.11

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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.