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Finding the Fourth Proportional to 287.84, 397.32 and 189.56

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Solution

The fourth proportional to 287.84, 397.32 and 189.56 is: 261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.84 : 397.32 = 189.56 : x
  2. Step 2: Convert to fraction form
    287.84/397.32 = 189.56/x
  3. Step 3: Cross multiply
    287.84x = 397.32 × 189.56
  4. Step 4: Simplify right side
    287.84x = 75,315.98
  5. Step 5: Solve for x
    x = 75,315.98/287.84
  6. Step 6: Final answer
    x = 261.66

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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.