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Finding the Fourth Proportional to 297.95, 447.02 and 153.57

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Solution

The fourth proportional to 297.95, 447.02 and 153.57 is: 230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.95 : 447.02 = 153.57 : x
  2. Step 2: Convert to fraction form
    297.95/447.02 = 153.57/x
  3. Step 3: Cross multiply
    297.95x = 447.02 × 153.57
  4. Step 4: Simplify right side
    297.95x = 68,648.09
  5. Step 5: Solve for x
    x = 68,648.09/297.95
  6. Step 6: Final answer
    x = 230.41

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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.