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Finding the Fourth Proportional to 262.94, 362.95 and 197.53

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Solution

The fourth proportional to 262.94, 362.95 and 197.53 is: 272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.94 : 362.95 = 197.53 : x
  2. Step 2: Convert to fraction form
    262.94/362.95 = 197.53/x
  3. Step 3: Cross multiply
    262.94x = 362.95 × 197.53
  4. Step 4: Simplify right side
    262.94x = 71,692.11
  5. Step 5: Solve for x
    x = 71,692.11/262.94
  6. Step 6: Final answer
    x = 272.66

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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.