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Finding the Fourth Proportional to 208.02, 312.21 and 136.05

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Solution

The fourth proportional to 208.02, 312.21 and 136.05 is: 204.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.02 : 312.21 = 136.05 : x
  2. Step 2: Convert to fraction form
    208.02/312.21 = 136.05/x
  3. Step 3: Cross multiply
    208.02x = 312.21 × 136.05
  4. Step 4: Simplify right side
    208.02x = 42,476.17
  5. Step 5: Solve for x
    x = 42,476.17/208.02
  6. Step 6: Final answer
    x = 204.19

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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.