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Finding the Fourth Proportional to 177.14, 244.44 and 103.46

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Solution

The fourth proportional to 177.14, 244.44 and 103.46 is: 142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.14 : 244.44 = 103.46 : x
  2. Step 2: Convert to fraction form
    177.14/244.44 = 103.46/x
  3. Step 3: Cross multiply
    177.14x = 244.44 × 103.46
  4. Step 4: Simplify right side
    177.14x = 25,289.76
  5. Step 5: Solve for x
    x = 25,289.76/177.14
  6. Step 6: Final answer
    x = 142.77

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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.