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Finding the Fourth Proportional to 233.24, 319.35 and 232.43

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Solution

The fourth proportional to 233.24, 319.35 and 232.43 is: 318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.24 : 319.35 = 232.43 : x
  2. Step 2: Convert to fraction form
    233.24/319.35 = 232.43/x
  3. Step 3: Cross multiply
    233.24x = 319.35 × 232.43
  4. Step 4: Simplify right side
    233.24x = 74,226.52
  5. Step 5: Solve for x
    x = 74,226.52/233.24
  6. Step 6: Final answer
    x = 318.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.