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Finding the Fourth Proportional to 177.63, 245.30 and 122.24

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Solution

The fourth proportional to 177.63, 245.30 and 122.24 is: 168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.63 : 245.30 = 122.24 : x
  2. Step 2: Convert to fraction form
    177.63/245.30 = 122.24/x
  3. Step 3: Cross multiply
    177.63x = 245.30 × 122.24
  4. Step 4: Simplify right side
    177.63x = 29,985.47
  5. Step 5: Solve for x
    x = 29,985.47/177.63
  6. Step 6: Final answer
    x = 168.81

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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.