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Finding the Fourth Proportional to 266.18, 367.29 and 155.63

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Solution

The fourth proportional to 266.18, 367.29 and 155.63 is: 214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.18 : 367.29 = 155.63 : x
  2. Step 2: Convert to fraction form
    266.18/367.29 = 155.63/x
  3. Step 3: Cross multiply
    266.18x = 367.29 × 155.63
  4. Step 4: Simplify right side
    266.18x = 57,162.26
  5. Step 5: Solve for x
    x = 57,162.26/266.18
  6. Step 6: Final answer
    x = 214.75

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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.