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Finding the Fourth Proportional to 156.63, 214.74 and 154.24

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Solution

The fourth proportional to 156.63, 214.74 and 154.24 is: 211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.63 : 214.74 = 154.24 : x
  2. Step 2: Convert to fraction form
    156.63/214.74 = 154.24/x
  3. Step 3: Cross multiply
    156.63x = 214.74 × 154.24
  4. Step 4: Simplify right side
    156.63x = 33,121.88
  5. Step 5: Solve for x
    x = 33,121.88/156.63
  6. Step 6: Final answer
    x = 211.47

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Why These Related Problems?

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