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Finding the Fourth Proportional to 364.25, 546.28 and 104.27

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Solution

The fourth proportional to 364.25, 546.28 and 104.27 is: 156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.25 : 546.28 = 104.27 : x
  2. Step 2: Convert to fraction form
    364.25/546.28 = 104.27/x
  3. Step 3: Cross multiply
    364.25x = 546.28 × 104.27
  4. Step 4: Simplify right side
    364.25x = 56,959.67
  5. Step 5: Solve for x
    x = 56,959.67/364.25
  6. Step 6: Final answer
    x = 156.38

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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.