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Finding the Fourth Proportional to 233.02, 321.67 and 194.14

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Solution

The fourth proportional to 233.02, 321.67 and 194.14 is: 268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.02 : 321.67 = 194.14 : x
  2. Step 2: Convert to fraction form
    233.02/321.67 = 194.14/x
  3. Step 3: Cross multiply
    233.02x = 321.67 × 194.14
  4. Step 4: Simplify right side
    233.02x = 62,449.01
  5. Step 5: Solve for x
    x = 62,449.01/233.02
  6. Step 6: Final answer
    x = 268.00

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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.