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Finding the Fourth Proportional to 208.87, 313.41 and 100.63

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Solution

The fourth proportional to 208.87, 313.41 and 100.63 is: 151.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.87 : 313.41 = 100.63 : x
  2. Step 2: Convert to fraction form
    208.87/313.41 = 100.63/x
  3. Step 3: Cross multiply
    208.87x = 313.41 × 100.63
  4. Step 4: Simplify right side
    208.87x = 31,538.45
  5. Step 5: Solve for x
    x = 31,538.45/208.87
  6. Step 6: Final answer
    x = 151.00

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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.