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Finding the Fourth Proportional to 157.25, 217.29 and 120.35

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Solution

The fourth proportional to 157.25, 217.29 and 120.35 is: 166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.25 : 217.29 = 120.35 : x
  2. Step 2: Convert to fraction form
    157.25/217.29 = 120.35/x
  3. Step 3: Cross multiply
    157.25x = 217.29 × 120.35
  4. Step 4: Simplify right side
    157.25x = 26,149.16
  5. Step 5: Solve for x
    x = 26,149.16/157.25
  6. Step 6: Final answer
    x = 166.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.