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Finding the Fourth Proportional to 149.04, 224.37 and 134.16

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Solution

The fourth proportional to 149.04, 224.37 and 134.16 is: 201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.04 : 224.37 = 134.16 : x
  2. Step 2: Convert to fraction form
    149.04/224.37 = 134.16/x
  3. Step 3: Cross multiply
    149.04x = 224.37 × 134.16
  4. Step 4: Simplify right side
    149.04x = 30,100.64
  5. Step 5: Solve for x
    x = 30,100.64/149.04
  6. Step 6: Final answer
    x = 201.96

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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.