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Finding the Fourth Proportional to 184.02, 252.60 and 162.84

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Solution

The fourth proportional to 184.02, 252.60 and 162.84 is: 223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.02 : 252.60 = 162.84 : x
  2. Step 2: Convert to fraction form
    184.02/252.60 = 162.84/x
  3. Step 3: Cross multiply
    184.02x = 252.60 × 162.84
  4. Step 4: Simplify right side
    184.02x = 41,133.38
  5. Step 5: Solve for x
    x = 41,133.38/184.02
  6. Step 6: Final answer
    x = 223.52

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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.