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Finding the Fourth Proportional to 223.67, 308.62 and 146

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Solution

The fourth proportional to 223.67, 308.62 and 146 is: 201.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.67 : 308.62 = 146 : x
  2. Step 2: Convert to fraction form
    223.67/308.62 = 146/x
  3. Step 3: Cross multiply
    223.67x = 308.62 × 146
  4. Step 4: Simplify right side
    223.67x = 45,058.52
  5. Step 5: Solve for x
    x = 45,058.52/223.67
  6. Step 6: Final answer
    x = 201.45

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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.