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Finding the Fourth Proportional to 210.31, 290.23 and 123.01

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Solution

The fourth proportional to 210.31, 290.23 and 123.01 is: 169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.31 : 290.23 = 123.01 : x
  2. Step 2: Convert to fraction form
    210.31/290.23 = 123.01/x
  3. Step 3: Cross multiply
    210.31x = 290.23 × 123.01
  4. Step 4: Simplify right side
    210.31x = 35,701.19
  5. Step 5: Solve for x
    x = 35,701.19/210.31
  6. Step 6: Final answer
    x = 169.76

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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.