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Finding the Fourth Proportional to 158.25, 217.57 and 157.27

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Solution

The fourth proportional to 158.25, 217.57 and 157.27 is: 216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.25 : 217.57 = 157.27 : x
  2. Step 2: Convert to fraction form
    158.25/217.57 = 157.27/x
  3. Step 3: Cross multiply
    158.25x = 217.57 × 157.27
  4. Step 4: Simplify right side
    158.25x = 34,216.06
  5. Step 5: Solve for x
    x = 34,216.06/158.25
  6. Step 6: Final answer
    x = 216.21

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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.