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Finding the Fourth Proportional to 307.10, 461.10 and 216.20

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Solution

The fourth proportional to 307.10, 461.10 and 216.20 is: 324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.10 : 461.10 = 216.20 : x
  2. Step 2: Convert to fraction form
    307.10/461.10 = 216.20/x
  3. Step 3: Cross multiply
    307.10x = 461.10 × 216.20
  4. Step 4: Simplify right side
    307.10x = 99,689.82
  5. Step 5: Solve for x
    x = 99,689.82/307.10
  6. Step 6: Final answer
    x = 324.62

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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.