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Finding the Fourth Proportional to 332.08, 457.98 and 227.20

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Solution

The fourth proportional to 332.08, 457.98 and 227.20 is: 313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.08 : 457.98 = 227.20 : x
  2. Step 2: Convert to fraction form
    332.08/457.98 = 227.20/x
  3. Step 3: Cross multiply
    332.08x = 457.98 × 227.20
  4. Step 4: Simplify right side
    332.08x = 104,053.06
  5. Step 5: Solve for x
    x = 104,053.06/332.08
  6. Step 6: Final answer
    x = 313.34

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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.