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Finding the Fourth Proportional to 165.96, 228.88 and 133.20

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Solution

The fourth proportional to 165.96, 228.88 and 133.20 is: 183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.96 : 228.88 = 133.20 : x
  2. Step 2: Convert to fraction form
    165.96/228.88 = 133.20/x
  3. Step 3: Cross multiply
    165.96x = 228.88 × 133.20
  4. Step 4: Simplify right side
    165.96x = 30,486.82
  5. Step 5: Solve for x
    x = 30,486.82/165.96
  6. Step 6: Final answer
    x = 183.70

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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.