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Finding the Fourth Proportional to 262.23, 392.99 and 189.23

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Solution

The fourth proportional to 262.23, 392.99 and 189.23 is: 283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.23 : 392.99 = 189.23 : x
  2. Step 2: Convert to fraction form
    262.23/392.99 = 189.23/x
  3. Step 3: Cross multiply
    262.23x = 392.99 × 189.23
  4. Step 4: Simplify right side
    262.23x = 74,365.50
  5. Step 5: Solve for x
    x = 74,365.50/262.23
  6. Step 6: Final answer
    x = 283.59

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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.