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Finding the Fourth Proportional to 184.02, 277.17 and 167.89

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Solution

The fourth proportional to 184.02, 277.17 and 167.89 is: 252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.02 : 277.17 = 167.89 : x
  2. Step 2: Convert to fraction form
    184.02/277.17 = 167.89/x
  3. Step 3: Cross multiply
    184.02x = 277.17 × 167.89
  4. Step 4: Simplify right side
    184.02x = 46,534.07
  5. Step 5: Solve for x
    x = 46,534.07/184.02
  6. Step 6: Final answer
    x = 252.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.