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Finding the Fourth Proportional to 297.18, 409.80 and 214.37

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Solution

The fourth proportional to 297.18, 409.80 and 214.37 is: 295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.18 : 409.80 = 214.37 : x
  2. Step 2: Convert to fraction form
    297.18/409.80 = 214.37/x
  3. Step 3: Cross multiply
    297.18x = 409.80 × 214.37
  4. Step 4: Simplify right side
    297.18x = 87,848.76
  5. Step 5: Solve for x
    x = 87,848.76/297.18
  6. Step 6: Final answer
    x = 295.61

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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.