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Finding the Fourth Proportional to 251.66, 347.58 and 212.45

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Solution

The fourth proportional to 251.66, 347.58 and 212.45 is: 293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.66 : 347.58 = 212.45 : x
  2. Step 2: Convert to fraction form
    251.66/347.58 = 212.45/x
  3. Step 3: Cross multiply
    251.66x = 347.58 × 212.45
  4. Step 4: Simplify right side
    251.66x = 73,841.63
  5. Step 5: Solve for x
    x = 73,841.63/251.66
  6. Step 6: Final answer
    x = 293.42

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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.