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Finding the Fourth Proportional to 208.11, 312.53 and 135.93

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Solution

The fourth proportional to 208.11, 312.53 and 135.93 is: 204.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.11 : 312.53 = 135.93 : x
  2. Step 2: Convert to fraction form
    208.11/312.53 = 135.93/x
  3. Step 3: Cross multiply
    208.11x = 312.53 × 135.93
  4. Step 4: Simplify right side
    208.11x = 42,481.52
  5. Step 5: Solve for x
    x = 42,481.52/208.11
  6. Step 6: Final answer
    x = 204.13

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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.