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Finding the Fourth Proportional to 307.61, 461.48 and 161.43

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Solution

The fourth proportional to 307.61, 461.48 and 161.43 is: 242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.61 : 461.48 = 161.43 : x
  2. Step 2: Convert to fraction form
    307.61/461.48 = 161.43/x
  3. Step 3: Cross multiply
    307.61x = 461.48 × 161.43
  4. Step 4: Simplify right side
    307.61x = 74,495.91
  5. Step 5: Solve for x
    x = 74,495.91/307.61
  6. Step 6: Final answer
    x = 242.18

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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.