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Finding the Fourth Proportional to 307.72, 461.40 and 177.82

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Solution

The fourth proportional to 307.72, 461.40 and 177.82 is: 266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.72 : 461.40 = 177.82 : x
  2. Step 2: Convert to fraction form
    307.72/461.40 = 177.82/x
  3. Step 3: Cross multiply
    307.72x = 461.40 × 177.82
  4. Step 4: Simplify right side
    307.72x = 82,046.15
  5. Step 5: Solve for x
    x = 82,046.15/307.72
  6. Step 6: Final answer
    x = 266.63

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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.