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Finding the Fourth Proportional to 307.68, 423.84 and 224.56

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Solution

The fourth proportional to 307.68, 423.84 and 224.56 is: 309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.68 : 423.84 = 224.56 : x
  2. Step 2: Convert to fraction form
    307.68/423.84 = 224.56/x
  3. Step 3: Cross multiply
    307.68x = 423.84 × 224.56
  4. Step 4: Simplify right side
    307.68x = 95,177.51
  5. Step 5: Solve for x
    x = 95,177.51/307.68
  6. Step 6: Final answer
    x = 309.34

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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.