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Finding the Fourth Proportional to 293.38, 404.71 and 175.28

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Solution

The fourth proportional to 293.38, 404.71 and 175.28 is: 241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.38 : 404.71 = 175.28 : x
  2. Step 2: Convert to fraction form
    293.38/404.71 = 175.28/x
  3. Step 3: Cross multiply
    293.38x = 404.71 × 175.28
  4. Step 4: Simplify right side
    293.38x = 70,935.11
  5. Step 5: Solve for x
    x = 70,935.11/293.38
  6. Step 6: Final answer
    x = 241.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.