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Finding the Fourth Proportional to 293.45, 440.19 and 98.45

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Solution

The fourth proportional to 293.45, 440.19 and 98.45 is: 147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.45 : 440.19 = 98.45 : x
  2. Step 2: Convert to fraction form
    293.45/440.19 = 98.45/x
  3. Step 3: Cross multiply
    293.45x = 440.19 × 98.45
  4. Step 4: Simplify right side
    293.45x = 43,336.71
  5. Step 5: Solve for x
    x = 43,336.71/293.45
  6. Step 6: Final answer
    x = 147.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.