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Finding the Fourth Proportional to 207.84, 311.16 and 135.48

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Solution

The fourth proportional to 207.84, 311.16 and 135.48 is: 202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.84 : 311.16 = 135.48 : x
  2. Step 2: Convert to fraction form
    207.84/311.16 = 135.48/x
  3. Step 3: Cross multiply
    207.84x = 311.16 × 135.48
  4. Step 4: Simplify right side
    207.84x = 42,155.96
  5. Step 5: Solve for x
    x = 42,155.96/207.84
  6. Step 6: Final answer
    x = 202.83

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