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Finding the Fourth Proportional to 314.83, 433.65 and 226.18

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Solution

The fourth proportional to 314.83, 433.65 and 226.18 is: 311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.83 : 433.65 = 226.18 : x
  2. Step 2: Convert to fraction form
    314.83/433.65 = 226.18/x
  3. Step 3: Cross multiply
    314.83x = 433.65 × 226.18
  4. Step 4: Simplify right side
    314.83x = 98,082.96
  5. Step 5: Solve for x
    x = 98,082.96/314.83
  6. Step 6: Final answer
    x = 311.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.