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Finding the Fourth Proportional to 195.28, 294.64 and 193.12

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Solution

The fourth proportional to 195.28, 294.64 and 193.12 is: 291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.28 : 294.64 = 193.12 : x
  2. Step 2: Convert to fraction form
    195.28/294.64 = 193.12/x
  3. Step 3: Cross multiply
    195.28x = 294.64 × 193.12
  4. Step 4: Simplify right side
    195.28x = 56,900.88
  5. Step 5: Solve for x
    x = 56,900.88/195.28
  6. Step 6: Final answer
    x = 291.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.