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Finding the Fourth Proportional to 208.94, 313.64 and 160.07

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Solution

The fourth proportional to 208.94, 313.64 and 160.07 is: 240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.94 : 313.64 = 160.07 : x
  2. Step 2: Convert to fraction form
    208.94/313.64 = 160.07/x
  3. Step 3: Cross multiply
    208.94x = 313.64 × 160.07
  4. Step 4: Simplify right side
    208.94x = 50,201.99
  5. Step 5: Solve for x
    x = 50,201.99/208.94
  6. Step 6: Final answer
    x = 240.28

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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.