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Finding the Fourth Proportional to 293.69, 440.47 and 111.02

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Solution

The fourth proportional to 293.69, 440.47 and 111.02 is: 166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.69 : 440.47 = 111.02 : x
  2. Step 2: Convert to fraction form
    293.69/440.47 = 111.02/x
  3. Step 3: Cross multiply
    293.69x = 440.47 × 111.02
  4. Step 4: Simplify right side
    293.69x = 48,898.50
  5. Step 5: Solve for x
    x = 48,898.50/293.69
  6. Step 6: Final answer
    x = 166.50

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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.