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Finding the Fourth Proportional to 293.50, 440.25 and 77.06

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Solution

The fourth proportional to 293.50, 440.25 and 77.06 is: 115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.50 : 440.25 = 77.06 : x
  2. Step 2: Convert to fraction form
    293.50/440.25 = 77.06/x
  3. Step 3: Cross multiply
    293.50x = 440.25 × 77.06
  4. Step 4: Simplify right side
    293.50x = 33,926.91
  5. Step 5: Solve for x
    x = 33,926.91/293.50
  6. Step 6: Final answer
    x = 115.59

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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.