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Finding the Fourth Proportional to 204.68, 308.22 and 172.46

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Solution

The fourth proportional to 204.68, 308.22 and 172.46 is: 259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.68 : 308.22 = 172.46 : x
  2. Step 2: Convert to fraction form
    204.68/308.22 = 172.46/x
  3. Step 3: Cross multiply
    204.68x = 308.22 × 172.46
  4. Step 4: Simplify right side
    204.68x = 53,154.76
  5. Step 5: Solve for x
    x = 53,154.76/204.68
  6. Step 6: Final answer
    x = 259.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.