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Finding the Fourth Proportional to 214.79, 295.13 and 171.05

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Solution

The fourth proportional to 214.79, 295.13 and 171.05 is: 235.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.79 : 295.13 = 171.05 : x
  2. Step 2: Convert to fraction form
    214.79/295.13 = 171.05/x
  3. Step 3: Cross multiply
    214.79x = 295.13 × 171.05
  4. Step 4: Simplify right side
    214.79x = 50,481.99
  5. Step 5: Solve for x
    x = 50,481.99/214.79
  6. Step 6: Final answer
    x = 235.03

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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.