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Finding the Fourth Proportional to 208.86, 313.43 and 135.77

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Solution

The fourth proportional to 208.86, 313.43 and 135.77 is: 203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.86 : 313.43 = 135.77 : x
  2. Step 2: Convert to fraction form
    208.86/313.43 = 135.77/x
  3. Step 3: Cross multiply
    208.86x = 313.43 × 135.77
  4. Step 4: Simplify right side
    208.86x = 42,554.39
  5. Step 5: Solve for x
    x = 42,554.39/208.86
  6. Step 6: Final answer
    x = 203.75

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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.