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Finding the Fourth Proportional to 165.35, 228.26 and 99.84

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Solution

The fourth proportional to 165.35, 228.26 and 99.84 is: 137.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.35 : 228.26 = 99.84 : x
  2. Step 2: Convert to fraction form
    165.35/228.26 = 99.84/x
  3. Step 3: Cross multiply
    165.35x = 228.26 × 99.84
  4. Step 4: Simplify right side
    165.35x = 22,790.02
  5. Step 5: Solve for x
    x = 22,790.02/165.35
  6. Step 6: Final answer
    x = 137.83

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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.