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Finding the Fourth Proportional to 164.86, 247.35 and 110.24

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Solution

The fourth proportional to 164.86, 247.35 and 110.24 is: 165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.86 : 247.35 = 110.24 : x
  2. Step 2: Convert to fraction form
    164.86/247.35 = 110.24/x
  3. Step 3: Cross multiply
    164.86x = 247.35 × 110.24
  4. Step 4: Simplify right side
    164.86x = 27,267.86
  5. Step 5: Solve for x
    x = 27,267.86/164.86
  6. Step 6: Final answer
    x = 165.40

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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.