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Finding the Fourth Proportional to 204.40, 308.68 and 204.40

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Solution

The fourth proportional to 204.40, 308.68 and 204.40 is: 308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.40 : 308.68 = 204.40 : x
  2. Step 2: Convert to fraction form
    204.40/308.68 = 204.40/x
  3. Step 3: Cross multiply
    204.40x = 308.68 × 204.40
  4. Step 4: Simplify right side
    204.40x = 63,094.19
  5. Step 5: Solve for x
    x = 63,094.19/204.40
  6. Step 6: Final answer
    x = 308.68

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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.