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Finding the Fourth Proportional to 307.64, 461.16 and 115.22

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Solution

The fourth proportional to 307.64, 461.16 and 115.22 is: 172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.64 : 461.16 = 115.22 : x
  2. Step 2: Convert to fraction form
    307.64/461.16 = 115.22/x
  3. Step 3: Cross multiply
    307.64x = 461.16 × 115.22
  4. Step 4: Simplify right side
    307.64x = 53,132.55
  5. Step 5: Solve for x
    x = 53,132.55/307.64
  6. Step 6: Final answer
    x = 172.71

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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.