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Finding the Fourth Proportional to 644.52, 966.66 and 182.19

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Solution

The fourth proportional to 644.52, 966.66 and 182.19 is: 273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.52 : 966.66 = 182.19 : x
  2. Step 2: Convert to fraction form
    644.52/966.66 = 182.19/x
  3. Step 3: Cross multiply
    644.52x = 966.66 × 182.19
  4. Step 4: Simplify right side
    644.52x = 176,117.29
  5. Step 5: Solve for x
    x = 176,117.29/644.52
  6. Step 6: Final answer
    x = 273.25

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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.