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Finding the Fourth Proportional to 677.66, 1,016.49 and 164.66

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Solution

The fourth proportional to 677.66, 1,016.49 and 164.66 is: 246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.66 : 1,016.49 = 164.66 : x
  2. Step 2: Convert to fraction form
    677.66/1,016.49 = 164.66/x
  3. Step 3: Cross multiply
    677.66x = 1,016.49 × 164.66
  4. Step 4: Simplify right side
    677.66x = 167,374.42
  5. Step 5: Solve for x
    x = 167,374.42/677.66
  6. Step 6: Final answer
    x = 246.99

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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.