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Finding the Fourth Proportional to 247.52, 370.80 and 227.84

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Solution

The fourth proportional to 247.52, 370.80 and 227.84 is: 341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.52 : 370.80 = 227.84 : x
  2. Step 2: Convert to fraction form
    247.52/370.80 = 227.84/x
  3. Step 3: Cross multiply
    247.52x = 370.80 × 227.84
  4. Step 4: Simplify right side
    247.52x = 84,483.07
  5. Step 5: Solve for x
    x = 84,483.07/247.52
  6. Step 6: Final answer
    x = 341.32

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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.