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Finding the Fourth Proportional to 303.64, 419.12 and 193.20

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Solution

The fourth proportional to 303.64, 419.12 and 193.20 is: 266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.64 : 419.12 = 193.20 : x
  2. Step 2: Convert to fraction form
    303.64/419.12 = 193.20/x
  3. Step 3: Cross multiply
    303.64x = 419.12 × 193.20
  4. Step 4: Simplify right side
    303.64x = 80,973.98
  5. Step 5: Solve for x
    x = 80,973.98/303.64
  6. Step 6: Final answer
    x = 266.68

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Why These Related Problems?

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