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Finding the Fourth Proportional to 165.28, 228.08 and 99.84

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Solution

The fourth proportional to 165.28, 228.08 and 99.84 is: 137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.28 : 228.08 = 99.84 : x
  2. Step 2: Convert to fraction form
    165.28/228.08 = 99.84/x
  3. Step 3: Cross multiply
    165.28x = 228.08 × 99.84
  4. Step 4: Simplify right side
    165.28x = 22,771.51
  5. Step 5: Solve for x
    x = 22,771.51/165.28
  6. Step 6: Final answer
    x = 137.78

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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.