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Finding the Fourth Proportional to 644.80, 967.12 and 188.80

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Solution

The fourth proportional to 644.80, 967.12 and 188.80 is: 283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.80 : 967.12 = 188.80 : x
  2. Step 2: Convert to fraction form
    644.80/967.12 = 188.80/x
  3. Step 3: Cross multiply
    644.80x = 967.12 × 188.80
  4. Step 4: Simplify right side
    644.80x = 182,592.26
  5. Step 5: Solve for x
    x = 182,592.26/644.80
  6. Step 6: Final answer
    x = 283.18

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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.