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Finding the Fourth Proportional to 307.61, 461.30 and 134.23

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Solution

The fourth proportional to 307.61, 461.30 and 134.23 is: 201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.61 : 461.30 = 134.23 : x
  2. Step 2: Convert to fraction form
    307.61/461.30 = 134.23/x
  3. Step 3: Cross multiply
    307.61x = 461.30 × 134.23
  4. Step 4: Simplify right side
    307.61x = 61,920.30
  5. Step 5: Solve for x
    x = 61,920.30/307.61
  6. Step 6: Final answer
    x = 201.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.