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Finding the Fourth Proportional to 226.85, 313.06 and 128.62

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Solution

The fourth proportional to 226.85, 313.06 and 128.62 is: 177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.85 : 313.06 = 128.62 : x
  2. Step 2: Convert to fraction form
    226.85/313.06 = 128.62/x
  3. Step 3: Cross multiply
    226.85x = 313.06 × 128.62
  4. Step 4: Simplify right side
    226.85x = 40,264.67
  5. Step 5: Solve for x
    x = 40,264.67/226.85
  6. Step 6: Final answer
    x = 177.50

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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.