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Finding the Fourth Proportional to 208.02, 287.16 and 145.90

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Solution

The fourth proportional to 208.02, 287.16 and 145.90 is: 201.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.02 : 287.16 = 145.90 : x
  2. Step 2: Convert to fraction form
    208.02/287.16 = 145.90/x
  3. Step 3: Cross multiply
    208.02x = 287.16 × 145.90
  4. Step 4: Simplify right side
    208.02x = 41,896.64
  5. Step 5: Solve for x
    x = 41,896.64/208.02
  6. Step 6: Final answer
    x = 201.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.