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Finding the Fourth Proportional to 150.65, 226.08 and 101.78

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Solution

The fourth proportional to 150.65, 226.08 and 101.78 is: 152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.65 : 226.08 = 101.78 : x
  2. Step 2: Convert to fraction form
    150.65/226.08 = 101.78/x
  3. Step 3: Cross multiply
    150.65x = 226.08 × 101.78
  4. Step 4: Simplify right side
    150.65x = 23,010.42
  5. Step 5: Solve for x
    x = 23,010.42/150.65
  6. Step 6: Final answer
    x = 152.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.