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Finding the Fourth Proportional to 208.84, 312.99 and 86.95

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Solution

The fourth proportional to 208.84, 312.99 and 86.95 is: 130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.84 : 312.99 = 86.95 : x
  2. Step 2: Convert to fraction form
    208.84/312.99 = 86.95/x
  3. Step 3: Cross multiply
    208.84x = 312.99 × 86.95
  4. Step 4: Simplify right side
    208.84x = 27,214.48
  5. Step 5: Solve for x
    x = 27,214.48/208.84
  6. Step 6: Final answer
    x = 130.31

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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.