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Finding the Fourth Proportional to 214.26, 295.36 and 144.19

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Solution

The fourth proportional to 214.26, 295.36 and 144.19 is: 198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.26 : 295.36 = 144.19 : x
  2. Step 2: Convert to fraction form
    214.26/295.36 = 144.19/x
  3. Step 3: Cross multiply
    214.26x = 295.36 × 144.19
  4. Step 4: Simplify right side
    214.26x = 42,587.96
  5. Step 5: Solve for x
    x = 42,587.96/214.26
  6. Step 6: Final answer
    x = 198.77

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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.