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Finding the Fourth Proportional to 307.97, 424.86 and 189.84

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Solution

The fourth proportional to 307.97, 424.86 and 189.84 is: 261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.97 : 424.86 = 189.84 : x
  2. Step 2: Convert to fraction form
    307.97/424.86 = 189.84/x
  3. Step 3: Cross multiply
    307.97x = 424.86 × 189.84
  4. Step 4: Simplify right side
    307.97x = 80,655.42
  5. Step 5: Solve for x
    x = 80,655.42/307.97
  6. Step 6: Final answer
    x = 261.90

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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.