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Finding the Fourth Proportional to 210.23, 290.19 and 127.31

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Solution

The fourth proportional to 210.23, 290.19 and 127.31 is: 175.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.23 : 290.19 = 127.31 : x
  2. Step 2: Convert to fraction form
    210.23/290.19 = 127.31/x
  3. Step 3: Cross multiply
    210.23x = 290.19 × 127.31
  4. Step 4: Simplify right side
    210.23x = 36,944.09
  5. Step 5: Solve for x
    x = 36,944.09/210.23
  6. Step 6: Final answer
    x = 175.73

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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.