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Finding the Fourth Proportional to 158.92, 217.36 and 156.40

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Solution

The fourth proportional to 158.92, 217.36 and 156.40 is: 213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.92 : 217.36 = 156.40 : x
  2. Step 2: Convert to fraction form
    158.92/217.36 = 156.40/x
  3. Step 3: Cross multiply
    158.92x = 217.36 × 156.40
  4. Step 4: Simplify right side
    158.92x = 33,995.10
  5. Step 5: Solve for x
    x = 33,995.10/158.92
  6. Step 6: Final answer
    x = 213.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.