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Finding the Fourth Proportional to 266.76, 368.31 and 167.22

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Solution

The fourth proportional to 266.76, 368.31 and 167.22 is: 230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.76 : 368.31 = 167.22 : x
  2. Step 2: Convert to fraction form
    266.76/368.31 = 167.22/x
  3. Step 3: Cross multiply
    266.76x = 368.31 × 167.22
  4. Step 4: Simplify right side
    266.76x = 61,587.42
  5. Step 5: Solve for x
    x = 61,587.42/266.76
  6. Step 6: Final answer
    x = 230.87

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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.