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Finding the Fourth Proportional to 210.47, 290.42 and 121.97

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Solution

The fourth proportional to 210.47, 290.42 and 121.97 is: 168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.47 : 290.42 = 121.97 : x
  2. Step 2: Convert to fraction form
    210.47/290.42 = 121.97/x
  3. Step 3: Cross multiply
    210.47x = 290.42 × 121.97
  4. Step 4: Simplify right side
    210.47x = 35,423.10
  5. Step 5: Solve for x
    x = 35,423.10/210.47
  6. Step 6: Final answer
    x = 168.31

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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.