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Finding the Fourth Proportional to 297.55, 446.42 and 175.84

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Solution

The fourth proportional to 297.55, 446.42 and 175.84 is: 263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.55 : 446.42 = 175.84 : x
  2. Step 2: Convert to fraction form
    297.55/446.42 = 175.84/x
  3. Step 3: Cross multiply
    297.55x = 446.42 × 175.84
  4. Step 4: Simplify right side
    297.55x = 78,498.49
  5. Step 5: Solve for x
    x = 78,498.49/297.55
  6. Step 6: Final answer
    x = 263.82

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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.