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Finding the Fourth Proportional to 156.06, 214.09 and 151.79

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Solution

The fourth proportional to 156.06, 214.09 and 151.79 is: 208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.06 : 214.09 = 151.79 : x
  2. Step 2: Convert to fraction form
    156.06/214.09 = 151.79/x
  3. Step 3: Cross multiply
    156.06x = 214.09 × 151.79
  4. Step 4: Simplify right side
    156.06x = 32,497.33
  5. Step 5: Solve for x
    x = 32,497.33/156.06
  6. Step 6: Final answer
    x = 208.24

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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.