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Finding the Fourth Proportional to 262.22, 393.28 and 97.66

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Solution

The fourth proportional to 262.22, 393.28 and 97.66 is: 146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.22 : 393.28 = 97.66 : x
  2. Step 2: Convert to fraction form
    262.22/393.28 = 97.66/x
  3. Step 3: Cross multiply
    262.22x = 393.28 × 97.66
  4. Step 4: Simplify right side
    262.22x = 38,407.72
  5. Step 5: Solve for x
    x = 38,407.72/262.22
  6. Step 6: Final answer
    x = 146.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.