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Finding the Fourth Proportional to 293.86, 440.78 and 98.98

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Solution

The fourth proportional to 293.86, 440.78 and 98.98 is: 148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.86 : 440.78 = 98.98 : x
  2. Step 2: Convert to fraction form
    293.86/440.78 = 98.98/x
  3. Step 3: Cross multiply
    293.86x = 440.78 × 98.98
  4. Step 4: Simplify right side
    293.86x = 43,626.81
  5. Step 5: Solve for x
    x = 43,626.81/293.86
  6. Step 6: Final answer
    x = 148.46

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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.