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Finding the Fourth Proportional to 644.75, 967.29 and 188.75

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Solution

The fourth proportional to 644.75, 967.29 and 188.75 is: 283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.75 : 967.29 = 188.75 : x
  2. Step 2: Convert to fraction form
    644.75/967.29 = 188.75/x
  3. Step 3: Cross multiply
    644.75x = 967.29 × 188.75
  4. Step 4: Simplify right side
    644.75x = 182,575.04
  5. Step 5: Solve for x
    x = 182,575.04/644.75
  6. Step 6: Final answer
    x = 283.17

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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.