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Finding the Fourth Proportional to 207.32, 311.38 and 202.46

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Solution

The fourth proportional to 207.32, 311.38 and 202.46 is: 304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.32 : 311.38 = 202.46 : x
  2. Step 2: Convert to fraction form
    207.32/311.38 = 202.46/x
  3. Step 3: Cross multiply
    207.32x = 311.38 × 202.46
  4. Step 4: Simplify right side
    207.32x = 63,039.93
  5. Step 5: Solve for x
    x = 63,039.93/207.32
  6. Step 6: Final answer
    x = 304.08

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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.