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Finding the Fourth Proportional to 232.77, 350.53 and 202.70

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Solution

The fourth proportional to 232.77, 350.53 and 202.70 is: 305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.77 : 350.53 = 202.70 : x
  2. Step 2: Convert to fraction form
    232.77/350.53 = 202.70/x
  3. Step 3: Cross multiply
    232.77x = 350.53 × 202.70
  4. Step 4: Simplify right side
    232.77x = 71,050.68
  5. Step 5: Solve for x
    x = 71,050.68/232.77
  6. Step 6: Final answer
    x = 305.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.