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Finding the Fourth Proportional to 150.69, 226.86 and 110.40

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Solution

The fourth proportional to 150.69, 226.86 and 110.40 is: 166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.69 : 226.86 = 110.40 : x
  2. Step 2: Convert to fraction form
    150.69/226.86 = 110.40/x
  3. Step 3: Cross multiply
    150.69x = 226.86 × 110.40
  4. Step 4: Simplify right side
    150.69x = 25,045.34
  5. Step 5: Solve for x
    x = 25,045.34/150.69
  6. Step 6: Final answer
    x = 166.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.