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Finding the Fourth Proportional to 207.72, 311.52 and 146.88

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Solution

The fourth proportional to 207.72, 311.52 and 146.88 is: 220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.72 : 311.52 = 146.88 : x
  2. Step 2: Convert to fraction form
    207.72/311.52 = 146.88/x
  3. Step 3: Cross multiply
    207.72x = 311.52 × 146.88
  4. Step 4: Simplify right side
    207.72x = 45,756.06
  5. Step 5: Solve for x
    x = 45,756.06/207.72
  6. Step 6: Final answer
    x = 220.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.