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Finding the Fourth Proportional to 210.80, 290.80 and 123.46

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Solution

The fourth proportional to 210.80, 290.80 and 123.46 is: 170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.80 : 290.80 = 123.46 : x
  2. Step 2: Convert to fraction form
    210.80/290.80 = 123.46/x
  3. Step 3: Cross multiply
    210.80x = 290.80 × 123.46
  4. Step 4: Simplify right side
    210.80x = 35,902.17
  5. Step 5: Solve for x
    x = 35,902.17/210.80
  6. Step 6: Final answer
    x = 170.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.