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Finding the Fourth Proportional to 307.82, 461.80 and 125.11

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Solution

The fourth proportional to 307.82, 461.80 and 125.11 is: 187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.82 : 461.80 = 125.11 : x
  2. Step 2: Convert to fraction form
    307.82/461.80 = 125.11/x
  3. Step 3: Cross multiply
    307.82x = 461.80 × 125.11
  4. Step 4: Simplify right side
    307.82x = 57,776.53
  5. Step 5: Solve for x
    x = 57,776.53/307.82
  6. Step 6: Final answer
    x = 187.70

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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.