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Finding the Fourth Proportional to 210.78, 290.67 and 137.07

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Solution

The fourth proportional to 210.78, 290.67 and 137.07 is: 189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.78 : 290.67 = 137.07 : x
  2. Step 2: Convert to fraction form
    210.78/290.67 = 137.07/x
  3. Step 3: Cross multiply
    210.78x = 290.67 × 137.07
  4. Step 4: Simplify right side
    210.78x = 39,842.14
  5. Step 5: Solve for x
    x = 39,842.14/210.78
  6. Step 6: Final answer
    x = 189.02

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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.