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Finding the Fourth Proportional to 177.24, 244.70 and 122.06

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Solution

The fourth proportional to 177.24, 244.70 and 122.06 is: 168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.24 : 244.70 = 122.06 : x
  2. Step 2: Convert to fraction form
    177.24/244.70 = 122.06/x
  3. Step 3: Cross multiply
    177.24x = 244.70 × 122.06
  4. Step 4: Simplify right side
    177.24x = 29,868.08
  5. Step 5: Solve for x
    x = 29,868.08/177.24
  6. Step 6: Final answer
    x = 168.52

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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.