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Finding the Fourth Proportional to 156.56, 215.91 and 140.85

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Solution

The fourth proportional to 156.56, 215.91 and 140.85 is: 194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.56 : 215.91 = 140.85 : x
  2. Step 2: Convert to fraction form
    156.56/215.91 = 140.85/x
  3. Step 3: Cross multiply
    156.56x = 215.91 × 140.85
  4. Step 4: Simplify right side
    156.56x = 30,410.92
  5. Step 5: Solve for x
    x = 30,410.92/156.56
  6. Step 6: Final answer
    x = 194.25

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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.