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Finding the Fourth Proportional to 208.55, 312.75 and 71.56

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Solution

The fourth proportional to 208.55, 312.75 and 71.56 is: 107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.55 : 312.75 = 71.56 : x
  2. Step 2: Convert to fraction form
    208.55/312.75 = 71.56/x
  3. Step 3: Cross multiply
    208.55x = 312.75 × 71.56
  4. Step 4: Simplify right side
    208.55x = 22,381.05
  5. Step 5: Solve for x
    x = 22,381.05/208.55
  6. Step 6: Final answer
    x = 107.32

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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.