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Finding the Fourth Proportional to 156.27, 214.42 and 154.82

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Solution

The fourth proportional to 156.27, 214.42 and 154.82 is: 212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.27 : 214.42 = 154.82 : x
  2. Step 2: Convert to fraction form
    156.27/214.42 = 154.82/x
  3. Step 3: Cross multiply
    156.27x = 214.42 × 154.82
  4. Step 4: Simplify right side
    156.27x = 33,196.50
  5. Step 5: Solve for x
    x = 33,196.50/156.27
  6. Step 6: Final answer
    x = 212.43

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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.