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Finding the Fourth Proportional to 297.88, 444.72 and 251.74

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Solution

The fourth proportional to 297.88, 444.72 and 251.74 is: 375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.88 : 444.72 = 251.74 : x
  2. Step 2: Convert to fraction form
    297.88/444.72 = 251.74/x
  3. Step 3: Cross multiply
    297.88x = 444.72 × 251.74
  4. Step 4: Simplify right side
    297.88x = 111,955.31
  5. Step 5: Solve for x
    x = 111,955.31/297.88
  6. Step 6: Final answer
    x = 375.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.