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Finding the Fourth Proportional to 150.91, 208.26 and 84.52

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Solution

The fourth proportional to 150.91, 208.26 and 84.52 is: 116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.91 : 208.26 = 84.52 : x
  2. Step 2: Convert to fraction form
    150.91/208.26 = 84.52/x
  3. Step 3: Cross multiply
    150.91x = 208.26 × 84.52
  4. Step 4: Simplify right side
    150.91x = 17,601.46
  5. Step 5: Solve for x
    x = 17,601.46/150.91
  6. Step 6: Final answer
    x = 116.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.