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Finding the Fourth Proportional to 293.46, 440.14 and 77.02

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Solution

The fourth proportional to 293.46, 440.14 and 77.02 is: 115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.46 : 440.14 = 77.02 : x
  2. Step 2: Convert to fraction form
    293.46/440.14 = 77.02/x
  3. Step 3: Cross multiply
    293.46x = 440.14 × 77.02
  4. Step 4: Simplify right side
    293.46x = 33,899.58
  5. Step 5: Solve for x
    x = 33,899.58/293.46
  6. Step 6: Final answer
    x = 115.52

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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.