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Finding the Fourth Proportional to 165.52, 228.40 and 113.76

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Solution

The fourth proportional to 165.52, 228.40 and 113.76 is: 156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.52 : 228.40 = 113.76 : x
  2. Step 2: Convert to fraction form
    165.52/228.40 = 113.76/x
  3. Step 3: Cross multiply
    165.52x = 228.40 × 113.76
  4. Step 4: Simplify right side
    165.52x = 25,982.78
  5. Step 5: Solve for x
    x = 25,982.78/165.52
  6. Step 6: Final answer
    x = 156.98

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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.