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Finding the Fourth Proportional to 208.94, 313.41 and 93.32

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Solution

The fourth proportional to 208.94, 313.41 and 93.32 is: 139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.94 : 313.41 = 93.32 : x
  2. Step 2: Convert to fraction form
    208.94/313.41 = 93.32/x
  3. Step 3: Cross multiply
    208.94x = 313.41 × 93.32
  4. Step 4: Simplify right side
    208.94x = 29,247.42
  5. Step 5: Solve for x
    x = 29,247.42/208.94
  6. Step 6: Final answer
    x = 139.98

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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.