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Finding the Fourth Proportional to 233.52, 322.16 and 140.24

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Solution

The fourth proportional to 233.52, 322.16 and 140.24 is: 193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.52 : 322.16 = 140.24 : x
  2. Step 2: Convert to fraction form
    233.52/322.16 = 140.24/x
  3. Step 3: Cross multiply
    233.52x = 322.16 × 140.24
  4. Step 4: Simplify right side
    233.52x = 45,179.72
  5. Step 5: Solve for x
    x = 45,179.72/233.52
  6. Step 6: Final answer
    x = 193.47

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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.