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Finding the Fourth Proportional to 157.59, 235.83 and 131.94

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Solution

The fourth proportional to 157.59, 235.83 and 131.94 is: 197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.59 : 235.83 = 131.94 : x
  2. Step 2: Convert to fraction form
    157.59/235.83 = 131.94/x
  3. Step 3: Cross multiply
    157.59x = 235.83 × 131.94
  4. Step 4: Simplify right side
    157.59x = 31,115.41
  5. Step 5: Solve for x
    x = 31,115.41/157.59
  6. Step 6: Final answer
    x = 197.45

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