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Finding the Fourth Proportional to 221.90, 306.13 and 148.26

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Solution

The fourth proportional to 221.90, 306.13 and 148.26 is: 204.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.90 : 306.13 = 148.26 : x
  2. Step 2: Convert to fraction form
    221.90/306.13 = 148.26/x
  3. Step 3: Cross multiply
    221.90x = 306.13 × 148.26
  4. Step 4: Simplify right side
    221.90x = 45,386.83
  5. Step 5: Solve for x
    x = 45,386.83/221.90
  6. Step 6: Final answer
    x = 204.54

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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.