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Finding the Fourth Proportional to 210.85, 291.05 and 137.14

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Solution

The fourth proportional to 210.85, 291.05 and 137.14 is: 189.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.85 : 291.05 = 137.14 : x
  2. Step 2: Convert to fraction form
    210.85/291.05 = 137.14/x
  3. Step 3: Cross multiply
    210.85x = 291.05 × 137.14
  4. Step 4: Simplify right side
    210.85x = 39,914.60
  5. Step 5: Solve for x
    x = 39,914.60/210.85
  6. Step 6: Final answer
    x = 189.30

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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.