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Finding the Fourth Proportional to 224.01, 308.99 and 145.30

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Solution

The fourth proportional to 224.01, 308.99 and 145.30 is: 200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.01 : 308.99 = 145.30 : x
  2. Step 2: Convert to fraction form
    224.01/308.99 = 145.30/x
  3. Step 3: Cross multiply
    224.01x = 308.99 × 145.30
  4. Step 4: Simplify right side
    224.01x = 44,896.25
  5. Step 5: Solve for x
    x = 44,896.25/224.01
  6. Step 6: Final answer
    x = 200.42

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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.