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Finding the Fourth Proportional to 150.91, 208.24 and 111.59

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Solution

The fourth proportional to 150.91, 208.24 and 111.59 is: 153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.91 : 208.24 = 111.59 : x
  2. Step 2: Convert to fraction form
    150.91/208.24 = 111.59/x
  3. Step 3: Cross multiply
    150.91x = 208.24 × 111.59
  4. Step 4: Simplify right side
    150.91x = 23,237.50
  5. Step 5: Solve for x
    x = 23,237.50/150.91
  6. Step 6: Final answer
    x = 153.98

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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.