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Finding the Fourth Proportional to 149.88, 206.76 and 103.26

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Solution

The fourth proportional to 149.88, 206.76 and 103.26 is: 142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.88 : 206.76 = 103.26 : x
  2. Step 2: Convert to fraction form
    149.88/206.76 = 103.26/x
  3. Step 3: Cross multiply
    149.88x = 206.76 × 103.26
  4. Step 4: Simplify right side
    149.88x = 21,350.04
  5. Step 5: Solve for x
    x = 21,350.04/149.88
  6. Step 6: Final answer
    x = 142.45

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