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Finding the Fourth Proportional to 210.94, 316.41 and 113.50

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Solution

The fourth proportional to 210.94, 316.41 and 113.50 is: 170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.94 : 316.41 = 113.50 : x
  2. Step 2: Convert to fraction form
    210.94/316.41 = 113.50/x
  3. Step 3: Cross multiply
    210.94x = 316.41 × 113.50
  4. Step 4: Simplify right side
    210.94x = 35,912.50
  5. Step 5: Solve for x
    x = 35,912.50/210.94
  6. Step 6: Final answer
    x = 170.25

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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.