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Finding the Fourth Proportional to 293.84, 440.44 and 163.76

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Solution

The fourth proportional to 293.84, 440.44 and 163.76 is: 245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.84 : 440.44 = 163.76 : x
  2. Step 2: Convert to fraction form
    293.84/440.44 = 163.76/x
  3. Step 3: Cross multiply
    293.84x = 440.44 × 163.76
  4. Step 4: Simplify right side
    293.84x = 72,126.45
  5. Step 5: Solve for x
    x = 72,126.45/293.84
  6. Step 6: Final answer
    x = 245.46

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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.