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Finding the Fourth Proportional to 177.68, 245.20 and 122.40

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Solution

The fourth proportional to 177.68, 245.20 and 122.40 is: 168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.68 : 245.20 = 122.40 : x
  2. Step 2: Convert to fraction form
    177.68/245.20 = 122.40/x
  3. Step 3: Cross multiply
    177.68x = 245.20 × 122.40
  4. Step 4: Simplify right side
    177.68x = 30,012.48
  5. Step 5: Solve for x
    x = 30,012.48/177.68
  6. Step 6: Final answer
    x = 168.91

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Why These Related Problems?

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