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Finding the Fourth Proportional to 165.38, 228.06 and 123.80

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Solution

The fourth proportional to 165.38, 228.06 and 123.80 is: 170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.38 : 228.06 = 123.80 : x
  2. Step 2: Convert to fraction form
    165.38/228.06 = 123.80/x
  3. Step 3: Cross multiply
    165.38x = 228.06 × 123.80
  4. Step 4: Simplify right side
    165.38x = 28,233.83
  5. Step 5: Solve for x
    x = 28,233.83/165.38
  6. Step 6: Final answer
    x = 170.72

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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.