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Finding the Fourth Proportional to 449.10, 673.54 and 160.54

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Solution

The fourth proportional to 449.10, 673.54 and 160.54 is: 240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.10 : 673.54 = 160.54 : x
  2. Step 2: Convert to fraction form
    449.10/673.54 = 160.54/x
  3. Step 3: Cross multiply
    449.10x = 673.54 × 160.54
  4. Step 4: Simplify right side
    449.10x = 108,130.11
  5. Step 5: Solve for x
    x = 108,130.11/449.10
  6. Step 6: Final answer
    x = 240.77

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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.