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Finding the Fourth Proportional to 157.02, 217.14 and 139.78

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Solution

The fourth proportional to 157.02, 217.14 and 139.78 is: 193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.02 : 217.14 = 139.78 : x
  2. Step 2: Convert to fraction form
    157.02/217.14 = 139.78/x
  3. Step 3: Cross multiply
    157.02x = 217.14 × 139.78
  4. Step 4: Simplify right side
    157.02x = 30,351.83
  5. Step 5: Solve for x
    x = 30,351.83/157.02
  6. Step 6: Final answer
    x = 193.30

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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.