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Finding the Fourth Proportional to 448.90, 673.29 and 160.31

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Solution

The fourth proportional to 448.90, 673.29 and 160.31 is: 240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.90 : 673.29 = 160.31 : x
  2. Step 2: Convert to fraction form
    448.90/673.29 = 160.31/x
  3. Step 3: Cross multiply
    448.90x = 673.29 × 160.31
  4. Step 4: Simplify right side
    448.90x = 107,936.80
  5. Step 5: Solve for x
    x = 107,936.80/448.90
  6. Step 6: Final answer
    x = 240.45

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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.