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Finding the Fourth Proportional to 406.23, 609.28 and 146.19

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Solution

The fourth proportional to 406.23, 609.28 and 146.19 is: 219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.23 : 609.28 = 146.19 : x
  2. Step 2: Convert to fraction form
    406.23/609.28 = 146.19/x
  3. Step 3: Cross multiply
    406.23x = 609.28 × 146.19
  4. Step 4: Simplify right side
    406.23x = 89,070.64
  5. Step 5: Solve for x
    x = 89,070.64/406.23
  6. Step 6: Final answer
    x = 219.26

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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.