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Finding the Fourth Proportional to 672.21, 1,008.20 and 185.15

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Solution

The fourth proportional to 672.21, 1,008.20 and 185.15 is: 277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.21 : 1,008.20 = 185.15 : x
  2. Step 2: Convert to fraction form
    672.21/1,008.20 = 185.15/x
  3. Step 3: Cross multiply
    672.21x = 1,008.20 × 185.15
  4. Step 4: Simplify right side
    672.21x = 186,668.23
  5. Step 5: Solve for x
    x = 186,668.23/672.21
  6. Step 6: Final answer
    x = 277.69

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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.