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Finding the Fourth Proportional to 448.96, 673.45 and 160.19

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Solution

The fourth proportional to 448.96, 673.45 and 160.19 is: 240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.96 : 673.45 = 160.19 : x
  2. Step 2: Convert to fraction form
    448.96/673.45 = 160.19/x
  3. Step 3: Cross multiply
    448.96x = 673.45 × 160.19
  4. Step 4: Simplify right side
    448.96x = 107,881.24
  5. Step 5: Solve for x
    x = 107,881.24/448.96
  6. Step 6: Final answer
    x = 240.29

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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.