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Finding the Fourth Proportional to 233.59, 350.84 and 225.13

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Solution

The fourth proportional to 233.59, 350.84 and 225.13 is: 338.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.59 : 350.84 = 225.13 : x
  2. Step 2: Convert to fraction form
    233.59/350.84 = 225.13/x
  3. Step 3: Cross multiply
    233.59x = 350.84 × 225.13
  4. Step 4: Simplify right side
    233.59x = 78,984.61
  5. Step 5: Solve for x
    x = 78,984.61/233.59
  6. Step 6: Final answer
    x = 338.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.