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Finding the Fourth Proportional to 150.69, 208.04 and 109.17

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Solution

The fourth proportional to 150.69, 208.04 and 109.17 is: 150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.69 : 208.04 = 109.17 : x
  2. Step 2: Convert to fraction form
    150.69/208.04 = 109.17/x
  3. Step 3: Cross multiply
    150.69x = 208.04 × 109.17
  4. Step 4: Simplify right side
    150.69x = 22,711.18
  5. Step 5: Solve for x
    x = 22,711.18/150.69
  6. Step 6: Final answer
    x = 150.71

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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.