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Finding the Fourth Proportional to 208.83, 313.32 and 100.69

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Solution

The fourth proportional to 208.83, 313.32 and 100.69 is: 151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.83 : 313.32 = 100.69 : x
  2. Step 2: Convert to fraction form
    208.83/313.32 = 100.69/x
  3. Step 3: Cross multiply
    208.83x = 313.32 × 100.69
  4. Step 4: Simplify right side
    208.83x = 31,548.98
  5. Step 5: Solve for x
    x = 31,548.98/208.83
  6. Step 6: Final answer
    x = 151.08

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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.