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Finding the Fourth Proportional to 294.92, 406.98 and 162.14

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Solution

The fourth proportional to 294.92, 406.98 and 162.14 is: 223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.92 : 406.98 = 162.14 : x
  2. Step 2: Convert to fraction form
    294.92/406.98 = 162.14/x
  3. Step 3: Cross multiply
    294.92x = 406.98 × 162.14
  4. Step 4: Simplify right side
    294.92x = 65,987.74
  5. Step 5: Solve for x
    x = 65,987.74/294.92
  6. Step 6: Final answer
    x = 223.75

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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.