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Finding the Fourth Proportional to 307.55, 424.34 and 189.49

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Solution

The fourth proportional to 307.55, 424.34 and 189.49 is: 261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.55 : 424.34 = 189.49 : x
  2. Step 2: Convert to fraction form
    307.55/424.34 = 189.49/x
  3. Step 3: Cross multiply
    307.55x = 424.34 × 189.49
  4. Step 4: Simplify right side
    307.55x = 80,406.54
  5. Step 5: Solve for x
    x = 80,406.54/307.55
  6. Step 6: Final answer
    x = 261.44

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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.