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Finding the Fourth Proportional to 165.27, 228 and 99.79

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Solution

The fourth proportional to 165.27, 228 and 99.79 is: 137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.27 : 228 = 99.79 : x
  2. Step 2: Convert to fraction form
    165.27/228 = 99.79/x
  3. Step 3: Cross multiply
    165.27x = 228 × 99.79
  4. Step 4: Simplify right side
    165.27x = 22,752.12
  5. Step 5: Solve for x
    x = 22,752.12/165.27
  6. Step 6: Final answer
    x = 137.67

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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.