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Finding the Fourth Proportional to 150.06, 223.79 and 135.48

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Solution

The fourth proportional to 150.06, 223.79 and 135.48 is: 202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.06 : 223.79 = 135.48 : x
  2. Step 2: Convert to fraction form
    150.06/223.79 = 135.48/x
  3. Step 3: Cross multiply
    150.06x = 223.79 × 135.48
  4. Step 4: Simplify right side
    150.06x = 30,318.06
  5. Step 5: Solve for x
    x = 30,318.06/150.06
  6. Step 6: Final answer
    x = 202.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.