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Finding the Fourth Proportional to 184.02, 254.16 and 167.64

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Solution

The fourth proportional to 184.02, 254.16 and 167.64 is: 231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.02 : 254.16 = 167.64 : x
  2. Step 2: Convert to fraction form
    184.02/254.16 = 167.64/x
  3. Step 3: Cross multiply
    184.02x = 254.16 × 167.64
  4. Step 4: Simplify right side
    184.02x = 42,607.38
  5. Step 5: Solve for x
    x = 42,607.38/184.02
  6. Step 6: Final answer
    x = 231.54

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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.