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Finding the Fourth Proportional to 220.20, 304.08 and 146.76

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Solution

The fourth proportional to 220.20, 304.08 and 146.76 is: 202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.20 : 304.08 = 146.76 : x
  2. Step 2: Convert to fraction form
    220.20/304.08 = 146.76/x
  3. Step 3: Cross multiply
    220.20x = 304.08 × 146.76
  4. Step 4: Simplify right side
    220.20x = 44,626.78
  5. Step 5: Solve for x
    x = 44,626.78/220.20
  6. Step 6: Final answer
    x = 202.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.