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Finding the Fourth Proportional to 195.18, 291.02 and 192.78

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Solution

The fourth proportional to 195.18, 291.02 and 192.78 is: 287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.18 : 291.02 = 192.78 : x
  2. Step 2: Convert to fraction form
    195.18/291.02 = 192.78/x
  3. Step 3: Cross multiply
    195.18x = 291.02 × 192.78
  4. Step 4: Simplify right side
    195.18x = 56,102.84
  5. Step 5: Solve for x
    x = 56,102.84/195.18
  6. Step 6: Final answer
    x = 287.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.