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Finding the Fourth Proportional to 407.48, 611.42 and 164.18

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Solution

The fourth proportional to 407.48, 611.42 and 164.18 is: 246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.48 : 611.42 = 164.18 : x
  2. Step 2: Convert to fraction form
    407.48/611.42 = 164.18/x
  3. Step 3: Cross multiply
    407.48x = 611.42 × 164.18
  4. Step 4: Simplify right side
    407.48x = 100,382.94
  5. Step 5: Solve for x
    x = 100,382.94/407.48
  6. Step 6: Final answer
    x = 246.35

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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.