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Finding the Fourth Proportional to 813.20, 1,219.68 and 228.14

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Solution

The fourth proportional to 813.20, 1,219.68 and 228.14 is: 342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.20 : 1,219.68 = 228.14 : x
  2. Step 2: Convert to fraction form
    813.20/1,219.68 = 228.14/x
  3. Step 3: Cross multiply
    813.20x = 1,219.68 × 228.14
  4. Step 4: Simplify right side
    813.20x = 278,260.84
  5. Step 5: Solve for x
    x = 278,260.84/813.20
  6. Step 6: Final answer
    x = 342.18

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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.