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Finding the Fourth Proportional to 210.89, 290.41 and 206.10

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Solution

The fourth proportional to 210.89, 290.41 and 206.10 is: 283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.89 : 290.41 = 206.10 : x
  2. Step 2: Convert to fraction form
    210.89/290.41 = 206.10/x
  3. Step 3: Cross multiply
    210.89x = 290.41 × 206.10
  4. Step 4: Simplify right side
    210.89x = 59,852.99
  5. Step 5: Solve for x
    x = 59,852.99/210.89
  6. Step 6: Final answer
    x = 283.81

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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.