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Finding the Fourth Proportional to 214.06, 295.17 and 144.10

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Solution

The fourth proportional to 214.06, 295.17 and 144.10 is: 198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.06 : 295.17 = 144.10 : x
  2. Step 2: Convert to fraction form
    214.06/295.17 = 144.10/x
  3. Step 3: Cross multiply
    214.06x = 295.17 × 144.10
  4. Step 4: Simplify right side
    214.06x = 42,534.00
  5. Step 5: Solve for x
    x = 42,534.00/214.06
  6. Step 6: Final answer
    x = 198.70

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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.