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Finding the Fourth Proportional to 266.16, 367.30 and 148.13

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Solution

The fourth proportional to 266.16, 367.30 and 148.13 is: 204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.16 : 367.30 = 148.13 : x
  2. Step 2: Convert to fraction form
    266.16/367.30 = 148.13/x
  3. Step 3: Cross multiply
    266.16x = 367.30 × 148.13
  4. Step 4: Simplify right side
    266.16x = 54,408.15
  5. Step 5: Solve for x
    x = 54,408.15/266.16
  6. Step 6: Final answer
    x = 204.42

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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.