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Finding the Fourth Proportional to 293.76, 440.64 and 77.36

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Solution

The fourth proportional to 293.76, 440.64 and 77.36 is: 116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.76 : 440.64 = 77.36 : x
  2. Step 2: Convert to fraction form
    293.76/440.64 = 77.36/x
  3. Step 3: Cross multiply
    293.76x = 440.64 × 77.36
  4. Step 4: Simplify right side
    293.76x = 34,085.71
  5. Step 5: Solve for x
    x = 34,085.71/293.76
  6. Step 6: Final answer
    x = 116.03

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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.