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Finding the Fourth Proportional to 308.75, 463.03 and 201.11

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Solution

The fourth proportional to 308.75, 463.03 and 201.11 is: 301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.75 : 463.03 = 201.11 : x
  2. Step 2: Convert to fraction form
    308.75/463.03 = 201.11/x
  3. Step 3: Cross multiply
    308.75x = 463.03 × 201.11
  4. Step 4: Simplify right side
    308.75x = 93,117.15
  5. Step 5: Solve for x
    x = 93,117.15/308.75
  6. Step 6: Final answer
    x = 301.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.