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Finding the Fourth Proportional to 204.84, 308.29 and 153.75

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Solution

The fourth proportional to 204.84, 308.29 and 153.75 is: 231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.84 : 308.29 = 153.75 : x
  2. Step 2: Convert to fraction form
    204.84/308.29 = 153.75/x
  3. Step 3: Cross multiply
    204.84x = 308.29 × 153.75
  4. Step 4: Simplify right side
    204.84x = 47,399.59
  5. Step 5: Solve for x
    x = 47,399.59/204.84
  6. Step 6: Final answer
    x = 231.40

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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.