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Finding the Fourth Proportional to 293.27, 439.47 and 148.68

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Solution

The fourth proportional to 293.27, 439.47 and 148.68 is: 222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.27 : 439.47 = 148.68 : x
  2. Step 2: Convert to fraction form
    293.27/439.47 = 148.68/x
  3. Step 3: Cross multiply
    293.27x = 439.47 × 148.68
  4. Step 4: Simplify right side
    293.27x = 65,340.40
  5. Step 5: Solve for x
    x = 65,340.40/293.27
  6. Step 6: Final answer
    x = 222.80

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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.