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Finding the Fourth Proportional to 356.62, 534.80 and 137.26

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Solution

The fourth proportional to 356.62, 534.80 and 137.26 is: 205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.62 : 534.80 = 137.26 : x
  2. Step 2: Convert to fraction form
    356.62/534.80 = 137.26/x
  3. Step 3: Cross multiply
    356.62x = 534.80 × 137.26
  4. Step 4: Simplify right side
    356.62x = 73,403.29
  5. Step 5: Solve for x
    x = 73,403.29/356.62
  6. Step 6: Final answer
    x = 205.83

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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.