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Finding the Fourth Proportional to 448.88, 673.28 and 188.96

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Solution

The fourth proportional to 448.88, 673.28 and 188.96 is: 283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.88 : 673.28 = 188.96 : x
  2. Step 2: Convert to fraction form
    448.88/673.28 = 188.96/x
  3. Step 3: Cross multiply
    448.88x = 673.28 × 188.96
  4. Step 4: Simplify right side
    448.88x = 127,222.99
  5. Step 5: Solve for x
    x = 127,222.99/448.88
  6. Step 6: Final answer
    x = 283.42

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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.