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Finding the Fourth Proportional to 307.45, 461.08 and 124.80

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Solution

The fourth proportional to 307.45, 461.08 and 124.80 is: 187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.45 : 461.08 = 124.80 : x
  2. Step 2: Convert to fraction form
    307.45/461.08 = 124.80/x
  3. Step 3: Cross multiply
    307.45x = 461.08 × 124.80
  4. Step 4: Simplify right side
    307.45x = 57,542.78
  5. Step 5: Solve for x
    x = 57,542.78/307.45
  6. Step 6: Final answer
    x = 187.16

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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.