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Finding the Fourth Proportional to 220.86, 304.63 and 146.27

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Solution

The fourth proportional to 220.86, 304.63 and 146.27 is: 201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.86 : 304.63 = 146.27 : x
  2. Step 2: Convert to fraction form
    220.86/304.63 = 146.27/x
  3. Step 3: Cross multiply
    220.86x = 304.63 × 146.27
  4. Step 4: Simplify right side
    220.86x = 44,558.63
  5. Step 5: Solve for x
    x = 44,558.63/220.86
  6. Step 6: Final answer
    x = 201.75

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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.