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Finding the Fourth Proportional to 177.22, 244.41 and 128.02

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Solution

The fourth proportional to 177.22, 244.41 and 128.02 is: 176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.22 : 244.41 = 128.02 : x
  2. Step 2: Convert to fraction form
    177.22/244.41 = 128.02/x
  3. Step 3: Cross multiply
    177.22x = 244.41 × 128.02
  4. Step 4: Simplify right side
    177.22x = 31,289.37
  5. Step 5: Solve for x
    x = 31,289.37/177.22
  6. Step 6: Final answer
    x = 176.56

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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.