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Finding the Fourth Proportional to 214.94, 296.80 and 171.48

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Solution

The fourth proportional to 214.94, 296.80 and 171.48 is: 236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.94 : 296.80 = 171.48 : x
  2. Step 2: Convert to fraction form
    214.94/296.80 = 171.48/x
  3. Step 3: Cross multiply
    214.94x = 296.80 × 171.48
  4. Step 4: Simplify right side
    214.94x = 50,895.26
  5. Step 5: Solve for x
    x = 50,895.26/214.94
  6. Step 6: Final answer
    x = 236.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.