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Finding the Fourth Proportional to 307.44, 424.23 and 202.74

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Solution

The fourth proportional to 307.44, 424.23 and 202.74 is: 279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.44 : 424.23 = 202.74 : x
  2. Step 2: Convert to fraction form
    307.44/424.23 = 202.74/x
  3. Step 3: Cross multiply
    307.44x = 424.23 × 202.74
  4. Step 4: Simplify right side
    307.44x = 86,008.39
  5. Step 5: Solve for x
    x = 86,008.39/307.44
  6. Step 6: Final answer
    x = 279.76

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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.