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Finding the Fourth Proportional to 214.85, 296.61 and 164.65

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Solution

The fourth proportional to 214.85, 296.61 and 164.65 is: 227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.85 : 296.61 = 164.65 : x
  2. Step 2: Convert to fraction form
    214.85/296.61 = 164.65/x
  3. Step 3: Cross multiply
    214.85x = 296.61 × 164.65
  4. Step 4: Simplify right side
    214.85x = 48,836.84
  5. Step 5: Solve for x
    x = 48,836.84/214.85
  6. Step 6: Final answer
    x = 227.31

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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.