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Finding the Fourth Proportional to 165.01, 246.91 and 99.77

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Solution

The fourth proportional to 165.01, 246.91 and 99.77 is: 149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.01 : 246.91 = 99.77 : x
  2. Step 2: Convert to fraction form
    165.01/246.91 = 99.77/x
  3. Step 3: Cross multiply
    165.01x = 246.91 × 99.77
  4. Step 4: Simplify right side
    165.01x = 24,634.21
  5. Step 5: Solve for x
    x = 24,634.21/165.01
  6. Step 6: Final answer
    x = 149.29

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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.