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Finding the Fourth Proportional to 287.74, 397.02 and 189.46

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Solution

The fourth proportional to 287.74, 397.02 and 189.46 is: 261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.74 : 397.02 = 189.46 : x
  2. Step 2: Convert to fraction form
    287.74/397.02 = 189.46/x
  3. Step 3: Cross multiply
    287.74x = 397.02 × 189.46
  4. Step 4: Simplify right side
    287.74x = 75,219.41
  5. Step 5: Solve for x
    x = 75,219.41/287.74
  6. Step 6: Final answer
    x = 261.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.