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Finding the Fourth Proportional to 448.96, 673.16 and 189.16

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Solution

The fourth proportional to 448.96, 673.16 and 189.16 is: 283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.96 : 673.16 = 189.16 : x
  2. Step 2: Convert to fraction form
    448.96/673.16 = 189.16/x
  3. Step 3: Cross multiply
    448.96x = 673.16 × 189.16
  4. Step 4: Simplify right side
    448.96x = 127,334.95
  5. Step 5: Solve for x
    x = 127,334.95/448.96
  6. Step 6: Final answer
    x = 283.62

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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.