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Finding the Fourth Proportional to 293.93, 440.85 and 77.52

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Solution

The fourth proportional to 293.93, 440.85 and 77.52 is: 116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.93 : 440.85 = 77.52 : x
  2. Step 2: Convert to fraction form
    293.93/440.85 = 77.52/x
  3. Step 3: Cross multiply
    293.93x = 440.85 × 77.52
  4. Step 4: Simplify right side
    293.93x = 34,176.64
  5. Step 5: Solve for x
    x = 34,176.64/293.93
  6. Step 6: Final answer
    x = 116.28

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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.