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Finding the Fourth Proportional to 206.64, 311.06 and 146.19

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Solution

The fourth proportional to 206.64, 311.06 and 146.19 is: 220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.64 : 311.06 = 146.19 : x
  2. Step 2: Convert to fraction form
    206.64/311.06 = 146.19/x
  3. Step 3: Cross multiply
    206.64x = 311.06 × 146.19
  4. Step 4: Simplify right side
    206.64x = 45,474.23
  5. Step 5: Solve for x
    x = 45,474.23/206.64
  6. Step 6: Final answer
    x = 220.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.