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Finding the Fourth Proportional to 262.17, 393.05 and 146.66

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Solution

The fourth proportional to 262.17, 393.05 and 146.66 is: 219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.17 : 393.05 = 146.66 : x
  2. Step 2: Convert to fraction form
    262.17/393.05 = 146.66/x
  3. Step 3: Cross multiply
    262.17x = 393.05 × 146.66
  4. Step 4: Simplify right side
    262.17x = 57,642.01
  5. Step 5: Solve for x
    x = 57,642.01/262.17
  6. Step 6: Final answer
    x = 219.87

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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.