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Finding the Fourth Proportional to 210.72, 290.81 and 137.10

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Solution

The fourth proportional to 210.72, 290.81 and 137.10 is: 189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.72 : 290.81 = 137.10 : x
  2. Step 2: Convert to fraction form
    210.72/290.81 = 137.10/x
  3. Step 3: Cross multiply
    210.72x = 290.81 × 137.10
  4. Step 4: Simplify right side
    210.72x = 39,870.05
  5. Step 5: Solve for x
    x = 39,870.05/210.72
  6. Step 6: Final answer
    x = 189.21

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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.