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Finding the Fourth Proportional to 157.38, 234.66 and 154.86

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Solution

The fourth proportional to 157.38, 234.66 and 154.86 is: 230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.38 : 234.66 = 154.86 : x
  2. Step 2: Convert to fraction form
    157.38/234.66 = 154.86/x
  3. Step 3: Cross multiply
    157.38x = 234.66 × 154.86
  4. Step 4: Simplify right side
    157.38x = 36,339.45
  5. Step 5: Solve for x
    x = 36,339.45/157.38
  6. Step 6: Final answer
    x = 230.90

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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.