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Finding the Fourth Proportional to 297.42, 446.00 and 167.42

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Solution

The fourth proportional to 297.42, 446.00 and 167.42 is: 251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.42 : 446.00 = 167.42 : x
  2. Step 2: Convert to fraction form
    297.42/446.00 = 167.42/x
  3. Step 3: Cross multiply
    297.42x = 446.00 × 167.42
  4. Step 4: Simplify right side
    297.42x = 74,666.25
  5. Step 5: Solve for x
    x = 74,666.25/297.42
  6. Step 6: Final answer
    x = 251.05

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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.