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Finding the Fourth Proportional to 165.42, 228.06 and 116.28

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Solution

The fourth proportional to 165.42, 228.06 and 116.28 is: 160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.42 : 228.06 = 116.28 : x
  2. Step 2: Convert to fraction form
    165.42/228.06 = 116.28/x
  3. Step 3: Cross multiply
    165.42x = 228.06 × 116.28
  4. Step 4: Simplify right side
    165.42x = 26,518.82
  5. Step 5: Solve for x
    x = 26,518.82/165.42
  6. Step 6: Final answer
    x = 160.31

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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.