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Finding the Fourth Proportional to 214.50, 296.15 and 164.62

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Solution

The fourth proportional to 214.50, 296.15 and 164.62 is: 227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.50 : 296.15 = 164.62 : x
  2. Step 2: Convert to fraction form
    214.50/296.15 = 164.62/x
  3. Step 3: Cross multiply
    214.50x = 296.15 × 164.62
  4. Step 4: Simplify right side
    214.50x = 48,752.21
  5. Step 5: Solve for x
    x = 48,752.21/214.50
  6. Step 6: Final answer
    x = 227.28

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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.