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Finding the Fourth Proportional to 293.21, 439.70 and 110.51

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Solution

The fourth proportional to 293.21, 439.70 and 110.51 is: 165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.21 : 439.70 = 110.51 : x
  2. Step 2: Convert to fraction form
    293.21/439.70 = 110.51/x
  3. Step 3: Cross multiply
    293.21x = 439.70 × 110.51
  4. Step 4: Simplify right side
    293.21x = 48,591.25
  5. Step 5: Solve for x
    x = 48,591.25/293.21
  6. Step 6: Final answer
    x = 165.72

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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.