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Finding the Fourth Proportional to 208.62, 287.77 and 153.50

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Solution

The fourth proportional to 208.62, 287.77 and 153.50 is: 211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.62 : 287.77 = 153.50 : x
  2. Step 2: Convert to fraction form
    208.62/287.77 = 153.50/x
  3. Step 3: Cross multiply
    208.62x = 287.77 × 153.50
  4. Step 4: Simplify right side
    208.62x = 44,172.70
  5. Step 5: Solve for x
    x = 44,172.70/208.62
  6. Step 6: Final answer
    x = 211.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.