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Finding the Fourth Proportional to 297.01, 444.63 and 194.34

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Solution

The fourth proportional to 297.01, 444.63 and 194.34 is: 290.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.01 : 444.63 = 194.34 : x
  2. Step 2: Convert to fraction form
    297.01/444.63 = 194.34/x
  3. Step 3: Cross multiply
    297.01x = 444.63 × 194.34
  4. Step 4: Simplify right side
    297.01x = 86,410.12
  5. Step 5: Solve for x
    x = 86,410.12/297.01
  6. Step 6: Final answer
    x = 290.94

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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.