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Finding the Fourth Proportional to 266.93, 368.21 and 197.17

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Solution

The fourth proportional to 266.93, 368.21 and 197.17 is: 271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.93 : 368.21 = 197.17 : x
  2. Step 2: Convert to fraction form
    266.93/368.21 = 197.17/x
  3. Step 3: Cross multiply
    266.93x = 368.21 × 197.17
  4. Step 4: Simplify right side
    266.93x = 72,599.97
  5. Step 5: Solve for x
    x = 72,599.97/266.93
  6. Step 6: Final answer
    x = 271.98

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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.