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Finding the Fourth Proportional to 214.23, 295.77 and 165.23

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Solution

The fourth proportional to 214.23, 295.77 and 165.23 is: 228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.23 : 295.77 = 165.23 : x
  2. Step 2: Convert to fraction form
    214.23/295.77 = 165.23/x
  3. Step 3: Cross multiply
    214.23x = 295.77 × 165.23
  4. Step 4: Simplify right side
    214.23x = 48,868.60
  5. Step 5: Solve for x
    x = 48,868.60/214.23
  6. Step 6: Final answer
    x = 228.11

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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.