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Finding the Fourth Proportional to 150.67, 208.02 and 109.36

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Solution

The fourth proportional to 150.67, 208.02 and 109.36 is: 150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.67 : 208.02 = 109.36 : x
  2. Step 2: Convert to fraction form
    150.67/208.02 = 109.36/x
  3. Step 3: Cross multiply
    150.67x = 208.02 × 109.36
  4. Step 4: Simplify right side
    150.67x = 22,749.07
  5. Step 5: Solve for x
    x = 22,749.07/150.67
  6. Step 6: Final answer
    x = 150.99

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Why These Related Problems?

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