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Finding the Fourth Proportional to 232.85, 350.65 and 202.77

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Solution

The fourth proportional to 232.85, 350.65 and 202.77 is: 305.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.85 : 350.65 = 202.77 : x
  2. Step 2: Convert to fraction form
    232.85/350.65 = 202.77/x
  3. Step 3: Cross multiply
    232.85x = 350.65 × 202.77
  4. Step 4: Simplify right side
    232.85x = 71,101.30
  5. Step 5: Solve for x
    x = 71,101.30/232.85
  6. Step 6: Final answer
    x = 305.35

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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.