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Finding the Fourth Proportional to 314.08, 470.90 and 226.10

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Solution

The fourth proportional to 314.08, 470.90 and 226.10 is: 338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.08 : 470.90 = 226.10 : x
  2. Step 2: Convert to fraction form
    314.08/470.90 = 226.10/x
  3. Step 3: Cross multiply
    314.08x = 470.90 × 226.10
  4. Step 4: Simplify right side
    314.08x = 106,468.31
  5. Step 5: Solve for x
    x = 106,468.31/314.08
  6. Step 6: Final answer
    x = 338.98

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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.