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Finding the Fourth Proportional to 157.73, 217.14 and 133.16

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Solution

The fourth proportional to 157.73, 217.14 and 133.16 is: 183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.73 : 217.14 = 133.16 : x
  2. Step 2: Convert to fraction form
    157.73/217.14 = 133.16/x
  3. Step 3: Cross multiply
    157.73x = 217.14 × 133.16
  4. Step 4: Simplify right side
    157.73x = 28,914.36
  5. Step 5: Solve for x
    x = 28,914.36/157.73
  6. Step 6: Final answer
    x = 183.32

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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.