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Finding the Fourth Proportional to 672.16, 1,008.13 and 185.10

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Solution

The fourth proportional to 672.16, 1,008.13 and 185.10 is: 277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.16 : 1,008.13 = 185.10 : x
  2. Step 2: Convert to fraction form
    672.16/1,008.13 = 185.10/x
  3. Step 3: Cross multiply
    672.16x = 1,008.13 × 185.10
  4. Step 4: Simplify right side
    672.16x = 186,601.99
  5. Step 5: Solve for x
    x = 186,601.99/672.16
  6. Step 6: Final answer
    x = 277.62

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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.