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Finding the Fourth Proportional to 364.76, 546.67 and 169.74

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Solution

The fourth proportional to 364.76, 546.67 and 169.74 is: 254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.76 : 546.67 = 169.74 : x
  2. Step 2: Convert to fraction form
    364.76/546.67 = 169.74/x
  3. Step 3: Cross multiply
    364.76x = 546.67 × 169.74
  4. Step 4: Simplify right side
    364.76x = 92,791.77
  5. Step 5: Solve for x
    x = 92,791.77/364.76
  6. Step 6: Final answer
    x = 254.39

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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.