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Finding the Fourth Proportional to 251.78, 347.42 and 210.22

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Solution

The fourth proportional to 251.78, 347.42 and 210.22 is: 290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.78 : 347.42 = 210.22 : x
  2. Step 2: Convert to fraction form
    251.78/347.42 = 210.22/x
  3. Step 3: Cross multiply
    251.78x = 347.42 × 210.22
  4. Step 4: Simplify right side
    251.78x = 73,034.29
  5. Step 5: Solve for x
    x = 73,034.29/251.78
  6. Step 6: Final answer
    x = 290.08

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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.