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Finding the Fourth Proportional to 297.61, 446.34 and 114.91

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Solution

The fourth proportional to 297.61, 446.34 and 114.91 is: 172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.61 : 446.34 = 114.91 : x
  2. Step 2: Convert to fraction form
    297.61/446.34 = 114.91/x
  3. Step 3: Cross multiply
    297.61x = 446.34 × 114.91
  4. Step 4: Simplify right side
    297.61x = 51,288.93
  5. Step 5: Solve for x
    x = 51,288.93/297.61
  6. Step 6: Final answer
    x = 172.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.