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Finding the Fourth Proportional to 364.49, 546.29 and 169.22

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Solution

The fourth proportional to 364.49, 546.29 and 169.22 is: 253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.49 : 546.29 = 169.22 : x
  2. Step 2: Convert to fraction form
    364.49/546.29 = 169.22/x
  3. Step 3: Cross multiply
    364.49x = 546.29 × 169.22
  4. Step 4: Simplify right side
    364.49x = 92,444.35
  5. Step 5: Solve for x
    x = 92,444.35/364.49
  6. Step 6: Final answer
    x = 253.63

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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.