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Finding the Fourth Proportional to 156.24, 215.41 and 131.44

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Solution

The fourth proportional to 156.24, 215.41 and 131.44 is: 181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.24 : 215.41 = 131.44 : x
  2. Step 2: Convert to fraction form
    156.24/215.41 = 131.44/x
  3. Step 3: Cross multiply
    156.24x = 215.41 × 131.44
  4. Step 4: Simplify right side
    156.24x = 28,311.76
  5. Step 5: Solve for x
    x = 28,311.76/156.24
  6. Step 6: Final answer
    x = 181.21

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Why These Related Problems?

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