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Finding the Fourth Proportional to 266.23, 367.01 and 188.47

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Solution

The fourth proportional to 266.23, 367.01 and 188.47 is: 259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.23 : 367.01 = 188.47 : x
  2. Step 2: Convert to fraction form
    266.23/367.01 = 188.47/x
  3. Step 3: Cross multiply
    266.23x = 367.01 × 188.47
  4. Step 4: Simplify right side
    266.23x = 69,168.54
  5. Step 5: Solve for x
    x = 69,168.54/266.23
  6. Step 6: Final answer
    x = 259.81

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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.