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Finding the Fourth Proportional to 233.83, 322.67 and 217.08

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Solution

The fourth proportional to 233.83, 322.67 and 217.08 is: 299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.83 : 322.67 = 217.08 : x
  2. Step 2: Convert to fraction form
    233.83/322.67 = 217.08/x
  3. Step 3: Cross multiply
    233.83x = 322.67 × 217.08
  4. Step 4: Simplify right side
    233.83x = 70,042.50
  5. Step 5: Solve for x
    x = 70,042.50/233.83
  6. Step 6: Final answer
    x = 299.54

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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.