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Finding the Fourth Proportional to 293.45, 440.22 and 101.07

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Solution

The fourth proportional to 293.45, 440.22 and 101.07 is: 151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.45 : 440.22 = 101.07 : x
  2. Step 2: Convert to fraction form
    293.45/440.22 = 101.07/x
  3. Step 3: Cross multiply
    293.45x = 440.22 × 101.07
  4. Step 4: Simplify right side
    293.45x = 44,493.04
  5. Step 5: Solve for x
    x = 44,493.04/293.45
  6. Step 6: Final answer
    x = 151.62

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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.