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Finding the Fourth Proportional to 221.65, 305.74 and 146.96

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Solution

The fourth proportional to 221.65, 305.74 and 146.96 is: 202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.65 : 305.74 = 146.96 : x
  2. Step 2: Convert to fraction form
    221.65/305.74 = 146.96/x
  3. Step 3: Cross multiply
    221.65x = 305.74 × 146.96
  4. Step 4: Simplify right side
    221.65x = 44,931.95
  5. Step 5: Solve for x
    x = 44,931.95/221.65
  6. Step 6: Final answer
    x = 202.71

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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.