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Finding the Fourth Proportional to 220.86, 304.64 and 147.14

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Solution

The fourth proportional to 220.86, 304.64 and 147.14 is: 202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.86 : 304.64 = 147.14 : x
  2. Step 2: Convert to fraction form
    220.86/304.64 = 147.14/x
  3. Step 3: Cross multiply
    220.86x = 304.64 × 147.14
  4. Step 4: Simplify right side
    220.86x = 44,824.73
  5. Step 5: Solve for x
    x = 44,824.73/220.86
  6. Step 6: Final answer
    x = 202.96

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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.