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Finding the Fourth Proportional to 307.98, 461.49 and 125.10

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Solution

The fourth proportional to 307.98, 461.49 and 125.10 is: 187.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.98 : 461.49 = 125.10 : x
  2. Step 2: Convert to fraction form
    307.98/461.49 = 125.10/x
  3. Step 3: Cross multiply
    307.98x = 461.49 × 125.10
  4. Step 4: Simplify right side
    307.98x = 57,732.40
  5. Step 5: Solve for x
    x = 57,732.40/307.98
  6. Step 6: Final answer
    x = 187.46

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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.