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Finding the Fourth Proportional to 157.64, 217.32 and 154.19

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Solution

The fourth proportional to 157.64, 217.32 and 154.19 is: 212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.64 : 217.32 = 154.19 : x
  2. Step 2: Convert to fraction form
    157.64/217.32 = 154.19/x
  3. Step 3: Cross multiply
    157.64x = 217.32 × 154.19
  4. Step 4: Simplify right side
    157.64x = 33,507.48
  5. Step 5: Solve for x
    x = 33,507.48/157.64
  6. Step 6: Final answer
    x = 212.56

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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.