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Finding the Fourth Proportional to 177.20, 244.20 and 146.02

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Solution

The fourth proportional to 177.20, 244.20 and 146.02 is: 201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.20 : 244.20 = 146.02 : x
  2. Step 2: Convert to fraction form
    177.20/244.20 = 146.02/x
  3. Step 3: Cross multiply
    177.20x = 244.20 × 146.02
  4. Step 4: Simplify right side
    177.20x = 35,658.08
  5. Step 5: Solve for x
    x = 35,658.08/177.20
  6. Step 6: Final answer
    x = 201.23

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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.