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Finding the Fourth Proportional to 220.67, 304.78 and 146.86

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Solution

The fourth proportional to 220.67, 304.78 and 146.86 is: 202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.67 : 304.78 = 146.86 : x
  2. Step 2: Convert to fraction form
    220.67/304.78 = 146.86/x
  3. Step 3: Cross multiply
    220.67x = 304.78 × 146.86
  4. Step 4: Simplify right side
    220.67x = 44,758.47
  5. Step 5: Solve for x
    x = 44,758.47/220.67
  6. Step 6: Final answer
    x = 202.83

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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.