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Finding the Fourth Proportional to 448.67, 673.13 and 160.13

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Solution

The fourth proportional to 448.67, 673.13 and 160.13 is: 240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.67 : 673.13 = 160.13 : x
  2. Step 2: Convert to fraction form
    448.67/673.13 = 160.13/x
  3. Step 3: Cross multiply
    448.67x = 673.13 × 160.13
  4. Step 4: Simplify right side
    448.67x = 107,785.34
  5. Step 5: Solve for x
    x = 107,785.34/448.67
  6. Step 6: Final answer
    x = 240.24

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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.