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Finding the Fourth Proportional to 149.16, 222.69 and 135.48

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Solution

The fourth proportional to 149.16, 222.69 and 135.48 is: 202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.16 : 222.69 = 135.48 : x
  2. Step 2: Convert to fraction form
    149.16/222.69 = 135.48/x
  3. Step 3: Cross multiply
    149.16x = 222.69 × 135.48
  4. Step 4: Simplify right side
    149.16x = 30,170.04
  5. Step 5: Solve for x
    x = 30,170.04/149.16
  6. Step 6: Final answer
    x = 202.27

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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.