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Finding the Fourth Proportional to 266.82, 368.23 and 234.02

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Solution

The fourth proportional to 266.82, 368.23 and 234.02 is: 322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.82 : 368.23 = 234.02 : x
  2. Step 2: Convert to fraction form
    266.82/368.23 = 234.02/x
  3. Step 3: Cross multiply
    266.82x = 368.23 × 234.02
  4. Step 4: Simplify right side
    266.82x = 86,173.18
  5. Step 5: Solve for x
    x = 86,173.18/266.82
  6. Step 6: Final answer
    x = 322.96

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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.