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Finding the Fourth Proportional to 208.93, 287.16 and 184.22

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Solution

The fourth proportional to 208.93, 287.16 and 184.22 is: 253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.93 : 287.16 = 184.22 : x
  2. Step 2: Convert to fraction form
    208.93/287.16 = 184.22/x
  3. Step 3: Cross multiply
    208.93x = 287.16 × 184.22
  4. Step 4: Simplify right side
    208.93x = 52,900.62
  5. Step 5: Solve for x
    x = 52,900.62/208.93
  6. Step 6: Final answer
    x = 253.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.