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Finding the Fourth Proportional to 226.95, 313.38 and 210.48

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Solution

The fourth proportional to 226.95, 313.38 and 210.48 is: 290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.95 : 313.38 = 210.48 : x
  2. Step 2: Convert to fraction form
    226.95/313.38 = 210.48/x
  3. Step 3: Cross multiply
    226.95x = 313.38 × 210.48
  4. Step 4: Simplify right side
    226.95x = 65,960.22
  5. Step 5: Solve for x
    x = 65,960.22/226.95
  6. Step 6: Final answer
    x = 290.64

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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.