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Finding the Fourth Proportional to 233.52, 350.28 and 137.36

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Solution

The fourth proportional to 233.52, 350.28 and 137.36 is: 206.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.52 : 350.28 = 137.36 : x
  2. Step 2: Convert to fraction form
    233.52/350.28 = 137.36/x
  3. Step 3: Cross multiply
    233.52x = 350.28 × 137.36
  4. Step 4: Simplify right side
    233.52x = 48,114.46
  5. Step 5: Solve for x
    x = 48,114.46/233.52
  6. Step 6: Final answer
    x = 206.04

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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.