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Finding the Fourth Proportional to 214.02, 295.44 and 144.12

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Solution

The fourth proportional to 214.02, 295.44 and 144.12 is: 198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.02 : 295.44 = 144.12 : x
  2. Step 2: Convert to fraction form
    214.02/295.44 = 144.12/x
  3. Step 3: Cross multiply
    214.02x = 295.44 × 144.12
  4. Step 4: Simplify right side
    214.02x = 42,578.81
  5. Step 5: Solve for x
    x = 42,578.81/214.02
  6. Step 6: Final answer
    x = 198.95

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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.