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Finding the Fourth Proportional to 293.11, 404.51 and 175.06

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Solution

The fourth proportional to 293.11, 404.51 and 175.06 is: 241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.11 : 404.51 = 175.06 : x
  2. Step 2: Convert to fraction form
    293.11/404.51 = 175.06/x
  3. Step 3: Cross multiply
    293.11x = 404.51 × 175.06
  4. Step 4: Simplify right side
    293.11x = 70,813.52
  5. Step 5: Solve for x
    x = 70,813.52/293.11
  6. Step 6: Final answer
    x = 241.59

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