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Finding the Fourth Proportional to 252.99, 348.80 and 217.98

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Solution

The fourth proportional to 252.99, 348.80 and 217.98 is: 300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.99 : 348.80 = 217.98 : x
  2. Step 2: Convert to fraction form
    252.99/348.80 = 217.98/x
  3. Step 3: Cross multiply
    252.99x = 348.80 × 217.98
  4. Step 4: Simplify right side
    252.99x = 76,030.33
  5. Step 5: Solve for x
    x = 76,030.33/252.99
  6. Step 6: Final answer
    x = 300.53

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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.