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Finding the Fourth Proportional to 177.84, 245.34 and 122.49

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Solution

The fourth proportional to 177.84, 245.34 and 122.49 is: 168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.84 : 245.34 = 122.49 : x
  2. Step 2: Convert to fraction form
    177.84/245.34 = 122.49/x
  3. Step 3: Cross multiply
    177.84x = 245.34 × 122.49
  4. Step 4: Simplify right side
    177.84x = 30,051.70
  5. Step 5: Solve for x
    x = 30,051.70/177.84
  6. Step 6: Final answer
    x = 168.98

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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.