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Finding the Fourth Proportional to 157.16, 216.99 and 120.26

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Solution

The fourth proportional to 157.16, 216.99 and 120.26 is: 166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.16 : 216.99 = 120.26 : x
  2. Step 2: Convert to fraction form
    157.16/216.99 = 120.26/x
  3. Step 3: Cross multiply
    157.16x = 216.99 × 120.26
  4. Step 4: Simplify right side
    157.16x = 26,094.13
  5. Step 5: Solve for x
    x = 26,094.13/157.16
  6. Step 6: Final answer
    x = 166.03

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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.