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Finding the Fourth Proportional to 208.66, 313.11 and 207.01

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Solution

The fourth proportional to 208.66, 313.11 and 207.01 is: 310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.66 : 313.11 = 207.01 : x
  2. Step 2: Convert to fraction form
    208.66/313.11 = 207.01/x
  3. Step 3: Cross multiply
    208.66x = 313.11 × 207.01
  4. Step 4: Simplify right side
    208.66x = 64,816.90
  5. Step 5: Solve for x
    x = 64,816.90/208.66
  6. Step 6: Final answer
    x = 310.63

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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.