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Finding the Fourth Proportional to 208.37, 287.43 and 183.87

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Solution

The fourth proportional to 208.37, 287.43 and 183.87 is: 253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.37 : 287.43 = 183.87 : x
  2. Step 2: Convert to fraction form
    208.37/287.43 = 183.87/x
  3. Step 3: Cross multiply
    208.37x = 287.43 × 183.87
  4. Step 4: Simplify right side
    208.37x = 52,849.75
  5. Step 5: Solve for x
    x = 52,849.75/208.37
  6. Step 6: Final answer
    x = 253.64

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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.