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Finding the Fourth Proportional to 252.24, 347.64 and 217.68

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Solution

The fourth proportional to 252.24, 347.64 and 217.68 is: 300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.24 : 347.64 = 217.68 : x
  2. Step 2: Convert to fraction form
    252.24/347.64 = 217.68/x
  3. Step 3: Cross multiply
    252.24x = 347.64 × 217.68
  4. Step 4: Simplify right side
    252.24x = 75,674.28
  5. Step 5: Solve for x
    x = 75,674.28/252.24
  6. Step 6: Final answer
    x = 300.01

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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.