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Finding the Fourth Proportional to 208.02, 286.77 and 145.66

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Solution

The fourth proportional to 208.02, 286.77 and 145.66 is: 200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.02 : 286.77 = 145.66 : x
  2. Step 2: Convert to fraction form
    208.02/286.77 = 145.66/x
  3. Step 3: Cross multiply
    208.02x = 286.77 × 145.66
  4. Step 4: Simplify right side
    208.02x = 41,770.20
  5. Step 5: Solve for x
    x = 41,770.20/208.02
  6. Step 6: Final answer
    x = 200.80

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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.