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Finding the Fourth Proportional to 232.83, 350.01 and 187.70

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Solution

The fourth proportional to 232.83, 350.01 and 187.70 is: 282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.83 : 350.01 = 187.70 : x
  2. Step 2: Convert to fraction form
    232.83/350.01 = 187.70/x
  3. Step 3: Cross multiply
    232.83x = 350.01 × 187.70
  4. Step 4: Simplify right side
    232.83x = 65,695.13
  5. Step 5: Solve for x
    x = 65,695.13/232.83
  6. Step 6: Final answer
    x = 282.16

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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.