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Finding the Fourth Proportional to 164.69, 246.92 and 77.98

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Solution

The fourth proportional to 164.69, 246.92 and 77.98 is: 116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.69 : 246.92 = 77.98 : x
  2. Step 2: Convert to fraction form
    164.69/246.92 = 77.98/x
  3. Step 3: Cross multiply
    164.69x = 246.92 × 77.98
  4. Step 4: Simplify right side
    164.69x = 19,254.40
  5. Step 5: Solve for x
    x = 19,254.40/164.69
  6. Step 6: Final answer
    x = 116.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.