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Finding the Fourth Proportional to 204.88, 307.40 and 108.64

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Solution

The fourth proportional to 204.88, 307.40 and 108.64 is: 163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.88 : 307.40 = 108.64 : x
  2. Step 2: Convert to fraction form
    204.88/307.40 = 108.64/x
  3. Step 3: Cross multiply
    204.88x = 307.40 × 108.64
  4. Step 4: Simplify right side
    204.88x = 33,395.94
  5. Step 5: Solve for x
    x = 33,395.94/204.88
  6. Step 6: Final answer
    x = 163.00

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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.