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Finding the Fourth Proportional to 293.45, 404.76 and 177.02

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Solution

The fourth proportional to 293.45, 404.76 and 177.02 is: 244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.45 : 404.76 = 177.02 : x
  2. Step 2: Convert to fraction form
    293.45/404.76 = 177.02/x
  3. Step 3: Cross multiply
    293.45x = 404.76 × 177.02
  4. Step 4: Simplify right side
    293.45x = 71,648.59
  5. Step 5: Solve for x
    x = 71,648.59/293.45
  6. Step 6: Final answer
    x = 244.16

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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.