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Finding the Fourth Proportional to 222.40, 304.96 and 214.68

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Solution

The fourth proportional to 222.40, 304.96 and 214.68 is: 294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.40 : 304.96 = 214.68 : x
  2. Step 2: Convert to fraction form
    222.40/304.96 = 214.68/x
  3. Step 3: Cross multiply
    222.40x = 304.96 × 214.68
  4. Step 4: Simplify right side
    222.40x = 65,468.81
  5. Step 5: Solve for x
    x = 65,468.81/222.40
  6. Step 6: Final answer
    x = 294.37

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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.