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Finding the Fourth Proportional to 165.92, 228.98 and 114.17

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Solution

The fourth proportional to 165.92, 228.98 and 114.17 is: 157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.92 : 228.98 = 114.17 : x
  2. Step 2: Convert to fraction form
    165.92/228.98 = 114.17/x
  3. Step 3: Cross multiply
    165.92x = 228.98 × 114.17
  4. Step 4: Simplify right side
    165.92x = 26,142.65
  5. Step 5: Solve for x
    x = 26,142.65/165.92
  6. Step 6: Final answer
    x = 157.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.