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Finding the Fourth Proportional to 210.87, 291.08 and 137.27

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Solution

The fourth proportional to 210.87, 291.08 and 137.27 is: 189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.87 : 291.08 = 137.27 : x
  2. Step 2: Convert to fraction form
    210.87/291.08 = 137.27/x
  3. Step 3: Cross multiply
    210.87x = 291.08 × 137.27
  4. Step 4: Simplify right side
    210.87x = 39,956.55
  5. Step 5: Solve for x
    x = 39,956.55/210.87
  6. Step 6: Final answer
    x = 189.48

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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.