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Finding the Fourth Proportional to 214.29, 295.82 and 165.33

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Solution

The fourth proportional to 214.29, 295.82 and 165.33 is: 228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.29 : 295.82 = 165.33 : x
  2. Step 2: Convert to fraction form
    214.29/295.82 = 165.33/x
  3. Step 3: Cross multiply
    214.29x = 295.82 × 165.33
  4. Step 4: Simplify right side
    214.29x = 48,907.09
  5. Step 5: Solve for x
    x = 48,907.09/214.29
  6. Step 6: Final answer
    x = 228.23

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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.