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Finding the Fourth Proportional to 210.78, 316.22 and 95.28

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Solution

The fourth proportional to 210.78, 316.22 and 95.28 is: 142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.78 : 316.22 = 95.28 : x
  2. Step 2: Convert to fraction form
    210.78/316.22 = 95.28/x
  3. Step 3: Cross multiply
    210.78x = 316.22 × 95.28
  4. Step 4: Simplify right side
    210.78x = 30,129.44
  5. Step 5: Solve for x
    x = 30,129.44/210.78
  6. Step 6: Final answer
    x = 142.94

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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.