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Finding the Fourth Proportional to 307.46, 461.30 and 102.12

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Solution

The fourth proportional to 307.46, 461.30 and 102.12 is: 153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.46 : 461.30 = 102.12 : x
  2. Step 2: Convert to fraction form
    307.46/461.30 = 102.12/x
  3. Step 3: Cross multiply
    307.46x = 461.30 × 102.12
  4. Step 4: Simplify right side
    307.46x = 47,107.45
  5. Step 5: Solve for x
    x = 47,107.45/307.46
  6. Step 6: Final answer
    x = 153.22

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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.