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Finding the Fourth Proportional to 303.45, 419.01 and 193.11

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Solution

The fourth proportional to 303.45, 419.01 and 193.11 is: 266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.45 : 419.01 = 193.11 : x
  2. Step 2: Convert to fraction form
    303.45/419.01 = 193.11/x
  3. Step 3: Cross multiply
    303.45x = 419.01 × 193.11
  4. Step 4: Simplify right side
    303.45x = 80,915.02
  5. Step 5: Solve for x
    x = 80,915.02/303.45
  6. Step 6: Final answer
    x = 266.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.