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Finding the Fourth Proportional to 208.84, 288.26 and 143.40

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Solution

The fourth proportional to 208.84, 288.26 and 143.40 is: 197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.84 : 288.26 = 143.40 : x
  2. Step 2: Convert to fraction form
    208.84/288.26 = 143.40/x
  3. Step 3: Cross multiply
    208.84x = 288.26 × 143.40
  4. Step 4: Simplify right side
    208.84x = 41,336.48
  5. Step 5: Solve for x
    x = 41,336.48/208.84
  6. Step 6: Final answer
    x = 197.93

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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.