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Finding the Fourth Proportional to 156.14, 233.10 and 131.84

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Solution

The fourth proportional to 156.14, 233.10 and 131.84 is: 196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.14 : 233.10 = 131.84 : x
  2. Step 2: Convert to fraction form
    156.14/233.10 = 131.84/x
  3. Step 3: Cross multiply
    156.14x = 233.10 × 131.84
  4. Step 4: Simplify right side
    156.14x = 30,731.90
  5. Step 5: Solve for x
    x = 30,731.90/156.14
  6. Step 6: Final answer
    x = 196.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.