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Finding the Fourth Proportional to 184.33, 254.28 and 117.92

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Solution

The fourth proportional to 184.33, 254.28 and 117.92 is: 162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.33 : 254.28 = 117.92 : x
  2. Step 2: Convert to fraction form
    184.33/254.28 = 117.92/x
  3. Step 3: Cross multiply
    184.33x = 254.28 × 117.92
  4. Step 4: Simplify right side
    184.33x = 29,984.70
  5. Step 5: Solve for x
    x = 29,984.70/184.33
  6. Step 6: Final answer
    x = 162.67

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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.