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Finding the Fourth Proportional to 149.55, 206.30 and 94.27

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Solution

The fourth proportional to 149.55, 206.30 and 94.27 is: 130.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.55 : 206.30 = 94.27 : x
  2. Step 2: Convert to fraction form
    149.55/206.30 = 94.27/x
  3. Step 3: Cross multiply
    149.55x = 206.30 × 94.27
  4. Step 4: Simplify right side
    149.55x = 19,448.01
  5. Step 5: Solve for x
    x = 19,448.01/149.55
  6. Step 6: Final answer
    x = 130.04

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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.