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Finding the Fourth Proportional to 157.09, 235.08 and 131.44

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Solution

The fourth proportional to 157.09, 235.08 and 131.44 is: 196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.09 : 235.08 = 131.44 : x
  2. Step 2: Convert to fraction form
    157.09/235.08 = 131.44/x
  3. Step 3: Cross multiply
    157.09x = 235.08 × 131.44
  4. Step 4: Simplify right side
    157.09x = 30,898.92
  5. Step 5: Solve for x
    x = 30,898.92/157.09
  6. Step 6: Final answer
    x = 196.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.