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Finding the Fourth Proportional to 210.84, 290.22 and 189.75

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Solution

The fourth proportional to 210.84, 290.22 and 189.75 is: 261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.84 : 290.22 = 189.75 : x
  2. Step 2: Convert to fraction form
    210.84/290.22 = 189.75/x
  3. Step 3: Cross multiply
    210.84x = 290.22 × 189.75
  4. Step 4: Simplify right side
    210.84x = 55,069.25
  5. Step 5: Solve for x
    x = 55,069.25/210.84
  6. Step 6: Final answer
    x = 261.19

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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.