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Finding the Fourth Proportional to 266.06, 367.16 and 148.02

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Solution

The fourth proportional to 266.06, 367.16 and 148.02 is: 204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.06 : 367.16 = 148.02 : x
  2. Step 2: Convert to fraction form
    266.06/367.16 = 148.02/x
  3. Step 3: Cross multiply
    266.06x = 367.16 × 148.02
  4. Step 4: Simplify right side
    266.06x = 54,347.02
  5. Step 5: Solve for x
    x = 54,347.02/266.06
  6. Step 6: Final answer
    x = 204.27

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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.