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Finding the Fourth Proportional to 157.14, 216.68 and 133.91

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Solution

The fourth proportional to 157.14, 216.68 and 133.91 is: 184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.14 : 216.68 = 133.91 : x
  2. Step 2: Convert to fraction form
    157.14/216.68 = 133.91/x
  3. Step 3: Cross multiply
    157.14x = 216.68 × 133.91
  4. Step 4: Simplify right side
    157.14x = 29,013.87
  5. Step 5: Solve for x
    x = 29,013.87/157.14
  6. Step 6: Final answer
    x = 184.64

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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.