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Finding the Fourth Proportional to 297.69, 446.54 and 189.23

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Solution

The fourth proportional to 297.69, 446.54 and 189.23 is: 283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.69 : 446.54 = 189.23 : x
  2. Step 2: Convert to fraction form
    297.69/446.54 = 189.23/x
  3. Step 3: Cross multiply
    297.69x = 446.54 × 189.23
  4. Step 4: Simplify right side
    297.69x = 84,495.59
  5. Step 5: Solve for x
    x = 84,495.59/297.69
  6. Step 6: Final answer
    x = 283.84

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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.