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Finding the Fourth Proportional to 165.98, 249.01 and 56.33

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Solution

The fourth proportional to 165.98, 249.01 and 56.33 is: 84.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.98 : 249.01 = 56.33 : x
  2. Step 2: Convert to fraction form
    165.98/249.01 = 56.33/x
  3. Step 3: Cross multiply
    165.98x = 249.01 × 56.33
  4. Step 4: Simplify right side
    165.98x = 14,027.21
  5. Step 5: Solve for x
    x = 14,027.21/165.98
  6. Step 6: Final answer
    x = 84.51

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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.