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Finding the Fourth Proportional to 293.38, 404.78 and 169

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Solution

The fourth proportional to 293.38, 404.78 and 169 is: 233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.38 : 404.78 = 169 : x
  2. Step 2: Convert to fraction form
    293.38/404.78 = 169/x
  3. Step 3: Cross multiply
    293.38x = 404.78 × 169
  4. Step 4: Simplify right side
    293.38x = 68,407.82
  5. Step 5: Solve for x
    x = 68,407.82/293.38
  6. Step 6: Final answer
    x = 233.17

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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.