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Finding the Fourth Proportional to 165.69, 246.87 and 156.38

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Solution

The fourth proportional to 165.69, 246.87 and 156.38 is: 232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.69 : 246.87 = 156.38 : x
  2. Step 2: Convert to fraction form
    165.69/246.87 = 156.38/x
  3. Step 3: Cross multiply
    165.69x = 246.87 × 156.38
  4. Step 4: Simplify right side
    165.69x = 38,604.30
  5. Step 5: Solve for x
    x = 38,604.30/165.69
  6. Step 6: Final answer
    x = 232.99

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