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Finding the Fourth Proportional to 220.24, 303.68 and 178.67

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Solution

The fourth proportional to 220.24, 303.68 and 178.67 is: 246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.24 : 303.68 = 178.67 : x
  2. Step 2: Convert to fraction form
    220.24/303.68 = 178.67/x
  3. Step 3: Cross multiply
    220.24x = 303.68 × 178.67
  4. Step 4: Simplify right side
    220.24x = 54,256.54
  5. Step 5: Solve for x
    x = 54,256.54/220.24
  6. Step 6: Final answer
    x = 246.35

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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.