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Finding the Fourth Proportional to 219.99, 303.33 and 178.42

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Solution

The fourth proportional to 219.99, 303.33 and 178.42 is: 246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.99 : 303.33 = 178.42 : x
  2. Step 2: Convert to fraction form
    219.99/303.33 = 178.42/x
  3. Step 3: Cross multiply
    219.99x = 303.33 × 178.42
  4. Step 4: Simplify right side
    219.99x = 54,119.09
  5. Step 5: Solve for x
    x = 54,119.09/219.99
  6. Step 6: Final answer
    x = 246.01

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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.