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Finding the Fourth Proportional to 149.51, 223.10 and 134.18

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Solution

The fourth proportional to 149.51, 223.10 and 134.18 is: 200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.51 : 223.10 = 134.18 : x
  2. Step 2: Convert to fraction form
    149.51/223.10 = 134.18/x
  3. Step 3: Cross multiply
    149.51x = 223.10 × 134.18
  4. Step 4: Simplify right side
    149.51x = 29,935.44
  5. Step 5: Solve for x
    x = 29,935.44/149.51
  6. Step 6: Final answer
    x = 200.23

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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.