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Finding the Fourth Proportional to 293.36, 404.84 and 169

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Solution

The fourth proportional to 293.36, 404.84 and 169 is: 233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.36 : 404.84 = 169 : x
  2. Step 2: Convert to fraction form
    293.36/404.84 = 169/x
  3. Step 3: Cross multiply
    293.36x = 404.84 × 169
  4. Step 4: Simplify right side
    293.36x = 68,417.96
  5. Step 5: Solve for x
    x = 68,417.96/293.36
  6. Step 6: Final answer
    x = 233.22

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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.