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Finding the Fourth Proportional to 208.84, 312.60 and 143.46

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Solution

The fourth proportional to 208.84, 312.60 and 143.46 is: 214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.84 : 312.60 = 143.46 : x
  2. Step 2: Convert to fraction form
    208.84/312.60 = 143.46/x
  3. Step 3: Cross multiply
    208.84x = 312.60 × 143.46
  4. Step 4: Simplify right side
    208.84x = 44,844.03
  5. Step 5: Solve for x
    x = 44,844.03/208.84
  6. Step 6: Final answer
    x = 214.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.