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Finding the Fourth Proportional to 157.89, 234.97 and 152.13

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Solution

The fourth proportional to 157.89, 234.97 and 152.13 is: 226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.89 : 234.97 = 152.13 : x
  2. Step 2: Convert to fraction form
    157.89/234.97 = 152.13/x
  3. Step 3: Cross multiply
    157.89x = 234.97 × 152.13
  4. Step 4: Simplify right side
    157.89x = 35,745.61
  5. Step 5: Solve for x
    x = 35,745.61/157.89
  6. Step 6: Final answer
    x = 226.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.