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Finding the Fourth Proportional to 644.98, 967.47 and 182.80

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Solution

The fourth proportional to 644.98, 967.47 and 182.80 is: 274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.98 : 967.47 = 182.80 : x
  2. Step 2: Convert to fraction form
    644.98/967.47 = 182.80/x
  3. Step 3: Cross multiply
    644.98x = 967.47 × 182.80
  4. Step 4: Simplify right side
    644.98x = 176,853.52
  5. Step 5: Solve for x
    x = 176,853.52/644.98
  6. Step 6: Final answer
    x = 274.20

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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.