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Finding the Fourth Proportional to 307.27, 460.97 and 114.89

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Solution

The fourth proportional to 307.27, 460.97 and 114.89 is: 172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.27 : 460.97 = 114.89 : x
  2. Step 2: Convert to fraction form
    307.27/460.97 = 114.89/x
  3. Step 3: Cross multiply
    307.27x = 460.97 × 114.89
  4. Step 4: Simplify right side
    307.27x = 52,960.66
  5. Step 5: Solve for x
    x = 52,960.66/307.27
  6. Step 6: Final answer
    x = 172.36

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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.