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Finding the Fourth Proportional to 292.84, 404.10 and 189.16

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Solution

The fourth proportional to 292.84, 404.10 and 189.16 is: 261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.84 : 404.10 = 189.16 : x
  2. Step 2: Convert to fraction form
    292.84/404.10 = 189.16/x
  3. Step 3: Cross multiply
    292.84x = 404.10 × 189.16
  4. Step 4: Simplify right side
    292.84x = 76,439.56
  5. Step 5: Solve for x
    x = 76,439.56/292.84
  6. Step 6: Final answer
    x = 261.03

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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.