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Finding the Fourth Proportional to 307.33, 460.82 and 112.32

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Solution

The fourth proportional to 307.33, 460.82 and 112.32 is: 168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.33 : 460.82 = 112.32 : x
  2. Step 2: Convert to fraction form
    307.33/460.82 = 112.32/x
  3. Step 3: Cross multiply
    307.33x = 460.82 × 112.32
  4. Step 4: Simplify right side
    307.33x = 51,758.74
  5. Step 5: Solve for x
    x = 51,758.74/307.33
  6. Step 6: Final answer
    x = 168.41

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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.