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Finding the Fourth Proportional to 210.97, 316.38 and 74.01

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Solution

The fourth proportional to 210.97, 316.38 and 74.01 is: 110.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.97 : 316.38 = 74.01 : x
  2. Step 2: Convert to fraction form
    210.97/316.38 = 74.01/x
  3. Step 3: Cross multiply
    210.97x = 316.38 × 74.01
  4. Step 4: Simplify right side
    210.97x = 23,415.28
  5. Step 5: Solve for x
    x = 23,415.28/210.97
  6. Step 6: Final answer
    x = 110.99

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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.