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Finding the Fourth Proportional to 219.20, 301.86 and 177.48

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Solution

The fourth proportional to 219.20, 301.86 and 177.48 is: 244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.20 : 301.86 = 177.48 : x
  2. Step 2: Convert to fraction form
    219.20/301.86 = 177.48/x
  3. Step 3: Cross multiply
    219.20x = 301.86 × 177.48
  4. Step 4: Simplify right side
    219.20x = 53,574.11
  5. Step 5: Solve for x
    x = 53,574.11/219.20
  6. Step 6: Final answer
    x = 244.41

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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.