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Finding the Fourth Proportional to 149.34, 205.50 and 138.18

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Solution

The fourth proportional to 149.34, 205.50 and 138.18 is: 190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.34 : 205.50 = 138.18 : x
  2. Step 2: Convert to fraction form
    149.34/205.50 = 138.18/x
  3. Step 3: Cross multiply
    149.34x = 205.50 × 138.18
  4. Step 4: Simplify right side
    149.34x = 28,395.99
  5. Step 5: Solve for x
    x = 28,395.99/149.34
  6. Step 6: Final answer
    x = 190.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.