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Finding the Fourth Proportional to 364.26, 546.62 and 136.26

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Solution

The fourth proportional to 364.26, 546.62 and 136.26 is: 204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.26 : 546.62 = 136.26 : x
  2. Step 2: Convert to fraction form
    364.26/546.62 = 136.26/x
  3. Step 3: Cross multiply
    364.26x = 546.62 × 136.26
  4. Step 4: Simplify right side
    364.26x = 74,482.44
  5. Step 5: Solve for x
    x = 74,482.44/364.26
  6. Step 6: Final answer
    x = 204.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.