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Finding the Fourth Proportional to 654.66, 982.06 and 192.44

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Solution

The fourth proportional to 654.66, 982.06 and 192.44 is: 288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.66 : 982.06 = 192.44 : x
  2. Step 2: Convert to fraction form
    654.66/982.06 = 192.44/x
  3. Step 3: Cross multiply
    654.66x = 982.06 × 192.44
  4. Step 4: Simplify right side
    654.66x = 188,987.63
  5. Step 5: Solve for x
    x = 188,987.63/654.66
  6. Step 6: Final answer
    x = 288.68

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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.