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Finding the Fourth Proportional to 165.81, 246.69 and 157.17

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Solution

The fourth proportional to 165.81, 246.69 and 157.17 is: 233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.81 : 246.69 = 157.17 : x
  2. Step 2: Convert to fraction form
    165.81/246.69 = 157.17/x
  3. Step 3: Cross multiply
    165.81x = 246.69 × 157.17
  4. Step 4: Simplify right side
    165.81x = 38,772.27
  5. Step 5: Solve for x
    x = 38,772.27/165.81
  6. Step 6: Final answer
    x = 233.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.