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Finding the Fourth Proportional to 184.02, 254.06 and 128.85

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Solution

The fourth proportional to 184.02, 254.06 and 128.85 is: 177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.02 : 254.06 = 128.85 : x
  2. Step 2: Convert to fraction form
    184.02/254.06 = 128.85/x
  3. Step 3: Cross multiply
    184.02x = 254.06 × 128.85
  4. Step 4: Simplify right side
    184.02x = 32,735.63
  5. Step 5: Solve for x
    x = 32,735.63/184.02
  6. Step 6: Final answer
    x = 177.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.