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Finding the Fourth Proportional to 254.07, 350.46 and 210.33

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Solution

The fourth proportional to 254.07, 350.46 and 210.33 is: 290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.07 : 350.46 = 210.33 : x
  2. Step 2: Convert to fraction form
    254.07/350.46 = 210.33/x
  3. Step 3: Cross multiply
    254.07x = 350.46 × 210.33
  4. Step 4: Simplify right side
    254.07x = 73,712.25
  5. Step 5: Solve for x
    x = 73,712.25/254.07
  6. Step 6: Final answer
    x = 290.13

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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.