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Finding the Fourth Proportional to 210.26, 290.06 and 136.54

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Solution

The fourth proportional to 210.26, 290.06 and 136.54 is: 188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.26 : 290.06 = 136.54 : x
  2. Step 2: Convert to fraction form
    210.26/290.06 = 136.54/x
  3. Step 3: Cross multiply
    210.26x = 290.06 × 136.54
  4. Step 4: Simplify right side
    210.26x = 39,604.79
  5. Step 5: Solve for x
    x = 39,604.79/210.26
  6. Step 6: Final answer
    x = 188.36

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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.