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Finding the Fourth Proportional to 156.69, 214.38 and 156.69

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Solution

The fourth proportional to 156.69, 214.38 and 156.69 is: 214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.69 : 214.38 = 156.69 : x
  2. Step 2: Convert to fraction form
    156.69/214.38 = 156.69/x
  3. Step 3: Cross multiply
    156.69x = 214.38 × 156.69
  4. Step 4: Simplify right side
    156.69x = 33,591.20
  5. Step 5: Solve for x
    x = 33,591.20/156.69
  6. Step 6: Final answer
    x = 214.38

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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.