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Finding the Fourth Proportional to 165.65, 228.35 and 116.37

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Solution

The fourth proportional to 165.65, 228.35 and 116.37 is: 160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.65 : 228.35 = 116.37 : x
  2. Step 2: Convert to fraction form
    165.65/228.35 = 116.37/x
  3. Step 3: Cross multiply
    165.65x = 228.35 × 116.37
  4. Step 4: Simplify right side
    165.65x = 26,573.38
  5. Step 5: Solve for x
    x = 26,573.38/165.65
  6. Step 6: Final answer
    x = 160.42

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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.