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Finding the Fourth Proportional to 298.82, 412.16 and 215.93

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Solution

The fourth proportional to 298.82, 412.16 and 215.93 is: 297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.82 : 412.16 = 215.93 : x
  2. Step 2: Convert to fraction form
    298.82/412.16 = 215.93/x
  3. Step 3: Cross multiply
    298.82x = 412.16 × 215.93
  4. Step 4: Simplify right side
    298.82x = 88,997.66
  5. Step 5: Solve for x
    x = 88,997.66/298.82
  6. Step 6: Final answer
    x = 297.83

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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.