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Finding the Fourth Proportional to 364.14, 546.17 and 104.13

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Solution

The fourth proportional to 364.14, 546.17 and 104.13 is: 156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.14 : 546.17 = 104.13 : x
  2. Step 2: Convert to fraction form
    364.14/546.17 = 104.13/x
  3. Step 3: Cross multiply
    364.14x = 546.17 × 104.13
  4. Step 4: Simplify right side
    364.14x = 56,869.95
  5. Step 5: Solve for x
    x = 56,869.95/364.14
  6. Step 6: Final answer
    x = 156.18

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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.