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Finding the Fourth Proportional to 307.24, 423.69 and 202.39

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Solution

The fourth proportional to 307.24, 423.69 and 202.39 is: 279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.24 : 423.69 = 202.39 : x
  2. Step 2: Convert to fraction form
    307.24/423.69 = 202.39/x
  3. Step 3: Cross multiply
    307.24x = 423.69 × 202.39
  4. Step 4: Simplify right side
    307.24x = 85,750.62
  5. Step 5: Solve for x
    x = 85,750.62/307.24
  6. Step 6: Final answer
    x = 279.10

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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.