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Finding the Fourth Proportional to 210.94, 316.10 and 108.08

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Solution

The fourth proportional to 210.94, 316.10 and 108.08 is: 161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.94 : 316.10 = 108.08 : x
  2. Step 2: Convert to fraction form
    210.94/316.10 = 108.08/x
  3. Step 3: Cross multiply
    210.94x = 316.10 × 108.08
  4. Step 4: Simplify right side
    210.94x = 34,164.09
  5. Step 5: Solve for x
    x = 34,164.09/210.94
  6. Step 6: Final answer
    x = 161.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.