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Finding the Fourth Proportional to 165.78, 228.96 and 110.52

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Solution

The fourth proportional to 165.78, 228.96 and 110.52 is: 152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 228.96 = 110.52 : x
  2. Step 2: Convert to fraction form
    165.78/228.96 = 110.52/x
  3. Step 3: Cross multiply
    165.78x = 228.96 × 110.52
  4. Step 4: Simplify right side
    165.78x = 25,304.66
  5. Step 5: Solve for x
    x = 25,304.66/165.78
  6. Step 6: Final answer
    x = 152.64

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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.