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Finding the Fourth Proportional to 307.59, 461.34 and 109.91

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Solution

The fourth proportional to 307.59, 461.34 and 109.91 is: 164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.59 : 461.34 = 109.91 : x
  2. Step 2: Convert to fraction form
    307.59/461.34 = 109.91/x
  3. Step 3: Cross multiply
    307.59x = 461.34 × 109.91
  4. Step 4: Simplify right side
    307.59x = 50,705.88
  5. Step 5: Solve for x
    x = 50,705.88/307.59
  6. Step 6: Final answer
    x = 164.85

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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.