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Finding the Fourth Proportional to 266.82, 368.13 and 167.16

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Solution

The fourth proportional to 266.82, 368.13 and 167.16 is: 230.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.82 : 368.13 = 167.16 : x
  2. Step 2: Convert to fraction form
    266.82/368.13 = 167.16/x
  3. Step 3: Cross multiply
    266.82x = 368.13 × 167.16
  4. Step 4: Simplify right side
    266.82x = 61,536.61
  5. Step 5: Solve for x
    x = 61,536.61/266.82
  6. Step 6: Final answer
    x = 230.63

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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.