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Finding the Fourth Proportional to 157.21, 217.26 and 135.74

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Solution

The fourth proportional to 157.21, 217.26 and 135.74 is: 187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.21 : 217.26 = 135.74 : x
  2. Step 2: Convert to fraction form
    157.21/217.26 = 135.74/x
  3. Step 3: Cross multiply
    157.21x = 217.26 × 135.74
  4. Step 4: Simplify right side
    157.21x = 29,490.87
  5. Step 5: Solve for x
    x = 29,490.87/157.21
  6. Step 6: Final answer
    x = 187.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.