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Finding the Fourth Proportional to 184.81, 253.43 and 166.33

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Solution

The fourth proportional to 184.81, 253.43 and 166.33 is: 228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.81 : 253.43 = 166.33 : x
  2. Step 2: Convert to fraction form
    184.81/253.43 = 166.33/x
  3. Step 3: Cross multiply
    184.81x = 253.43 × 166.33
  4. Step 4: Simplify right side
    184.81x = 42,153.01
  5. Step 5: Solve for x
    x = 42,153.01/184.81
  6. Step 6: Final answer
    x = 228.09

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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.