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Finding the Fourth Proportional to 672.12, 1,008.22 and 185.16

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Solution

The fourth proportional to 672.12, 1,008.22 and 185.16 is: 277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.12 : 1,008.22 = 185.16 : x
  2. Step 2: Convert to fraction form
    672.12/1,008.22 = 185.16/x
  3. Step 3: Cross multiply
    672.12x = 1,008.22 × 185.16
  4. Step 4: Simplify right side
    672.12x = 186,682.02
  5. Step 5: Solve for x
    x = 186,682.02/672.12
  6. Step 6: Final answer
    x = 277.75

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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.