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Finding the Fourth Proportional to 293.54, 440.30 and 201.95

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Solution

The fourth proportional to 293.54, 440.30 and 201.95 is: 302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.54 : 440.30 = 201.95 : x
  2. Step 2: Convert to fraction form
    293.54/440.30 = 201.95/x
  3. Step 3: Cross multiply
    293.54x = 440.30 × 201.95
  4. Step 4: Simplify right side
    293.54x = 88,921.02
  5. Step 5: Solve for x
    x = 88,921.02/293.54
  6. Step 6: Final answer
    x = 302.93

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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.