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Finding the Fourth Proportional to 210.79, 290.85 and 137.11

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Solution

The fourth proportional to 210.79, 290.85 and 137.11 is: 189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.79 : 290.85 = 137.11 : x
  2. Step 2: Convert to fraction form
    210.79/290.85 = 137.11/x
  3. Step 3: Cross multiply
    210.79x = 290.85 × 137.11
  4. Step 4: Simplify right side
    210.79x = 39,878.44
  5. Step 5: Solve for x
    x = 39,878.44/210.79
  6. Step 6: Final answer
    x = 189.19

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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.