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Finding the Fourth Proportional to 223.03, 308.01 and 149.50

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Solution

The fourth proportional to 223.03, 308.01 and 149.50 is: 206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.03 : 308.01 = 149.50 : x
  2. Step 2: Convert to fraction form
    223.03/308.01 = 149.50/x
  3. Step 3: Cross multiply
    223.03x = 308.01 × 149.50
  4. Step 4: Simplify right side
    223.03x = 46,047.50
  5. Step 5: Solve for x
    x = 46,047.50/223.03
  6. Step 6: Final answer
    x = 206.46

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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.