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Finding the Fourth Proportional to 189.28, 284.06 and 138.07

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Solution

The fourth proportional to 189.28, 284.06 and 138.07 is: 207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.28 : 284.06 = 138.07 : x
  2. Step 2: Convert to fraction form
    189.28/284.06 = 138.07/x
  3. Step 3: Cross multiply
    189.28x = 284.06 × 138.07
  4. Step 4: Simplify right side
    189.28x = 39,220.16
  5. Step 5: Solve for x
    x = 39,220.16/189.28
  6. Step 6: Final answer
    x = 207.21

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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.