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Finding the Fourth Proportional to 262.06, 393.08 and 146.33

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Solution

The fourth proportional to 262.06, 393.08 and 146.33 is: 219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.06 : 393.08 = 146.33 : x
  2. Step 2: Convert to fraction form
    262.06/393.08 = 146.33/x
  3. Step 3: Cross multiply
    262.06x = 393.08 × 146.33
  4. Step 4: Simplify right side
    262.06x = 57,519.27
  5. Step 5: Solve for x
    x = 57,519.27/262.06
  6. Step 6: Final answer
    x = 219.49

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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.