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Finding the Fourth Proportional to 307.65, 461.13 and 134.46

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Solution

The fourth proportional to 307.65, 461.13 and 134.46 is: 201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.65 : 461.13 = 134.46 : x
  2. Step 2: Convert to fraction form
    307.65/461.13 = 134.46/x
  3. Step 3: Cross multiply
    307.65x = 461.13 × 134.46
  4. Step 4: Simplify right side
    307.65x = 62,003.54
  5. Step 5: Solve for x
    x = 62,003.54/307.65
  6. Step 6: Final answer
    x = 201.54

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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.