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Finding the Fourth Proportional to 157.08, 234.08 and 151.92

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Solution

The fourth proportional to 157.08, 234.08 and 151.92 is: 226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.08 : 234.08 = 151.92 : x
  2. Step 2: Convert to fraction form
    157.08/234.08 = 151.92/x
  3. Step 3: Cross multiply
    157.08x = 234.08 × 151.92
  4. Step 4: Simplify right side
    157.08x = 35,561.43
  5. Step 5: Solve for x
    x = 35,561.43/157.08
  6. Step 6: Final answer
    x = 226.39

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Why These Related Problems?

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