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Finding the Fourth Proportional to 156.94, 215.72 and 138.42

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Solution

The fourth proportional to 156.94, 215.72 and 138.42 is: 190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.94 : 215.72 = 138.42 : x
  2. Step 2: Convert to fraction form
    156.94/215.72 = 138.42/x
  3. Step 3: Cross multiply
    156.94x = 215.72 × 138.42
  4. Step 4: Simplify right side
    156.94x = 29,859.96
  5. Step 5: Solve for x
    x = 29,859.96/156.94
  6. Step 6: Final answer
    x = 190.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.