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Finding the Fourth Proportional to 307.27, 461.36 and 125.02

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Solution

The fourth proportional to 307.27, 461.36 and 125.02 is: 187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.27 : 461.36 = 125.02 : x
  2. Step 2: Convert to fraction form
    307.27/461.36 = 125.02/x
  3. Step 3: Cross multiply
    307.27x = 461.36 × 125.02
  4. Step 4: Simplify right side
    307.27x = 57,679.23
  5. Step 5: Solve for x
    x = 57,679.23/307.27
  6. Step 6: Final answer
    x = 187.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.