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Finding the Fourth Proportional to 456.04, 684.06 and 163.55

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Solution

The fourth proportional to 456.04, 684.06 and 163.55 is: 245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.04 : 684.06 = 163.55 : x
  2. Step 2: Convert to fraction form
    456.04/684.06 = 163.55/x
  3. Step 3: Cross multiply
    456.04x = 684.06 × 163.55
  4. Step 4: Simplify right side
    456.04x = 111,878.01
  5. Step 5: Solve for x
    x = 111,878.01/456.04
  6. Step 6: Final answer
    x = 245.33

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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.