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Finding the Fourth Proportional to 266.29, 367.48 and 148.25

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Solution

The fourth proportional to 266.29, 367.48 and 148.25 is: 204.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.29 : 367.48 = 148.25 : x
  2. Step 2: Convert to fraction form
    266.29/367.48 = 148.25/x
  3. Step 3: Cross multiply
    266.29x = 367.48 × 148.25
  4. Step 4: Simplify right side
    266.29x = 54,480.01
  5. Step 5: Solve for x
    x = 54,480.01/266.29
  6. Step 6: Final answer
    x = 204.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.