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Finding the Fourth Proportional to 219.36, 303.12 and 177.84

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Solution

The fourth proportional to 219.36, 303.12 and 177.84 is: 245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.36 : 303.12 = 177.84 : x
  2. Step 2: Convert to fraction form
    219.36/303.12 = 177.84/x
  3. Step 3: Cross multiply
    219.36x = 303.12 × 177.84
  4. Step 4: Simplify right side
    219.36x = 53,906.86
  5. Step 5: Solve for x
    x = 53,906.86/219.36
  6. Step 6: Final answer
    x = 245.75

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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.