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Finding the Fourth Proportional to 307.74, 461.65 and 91.32

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Solution

The fourth proportional to 307.74, 461.65 and 91.32 is: 136.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.74 : 461.65 = 91.32 : x
  2. Step 2: Convert to fraction form
    307.74/461.65 = 91.32/x
  3. Step 3: Cross multiply
    307.74x = 461.65 × 91.32
  4. Step 4: Simplify right side
    307.74x = 42,157.88
  5. Step 5: Solve for x
    x = 42,157.88/307.74
  6. Step 6: Final answer
    x = 136.99

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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.