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Finding the Fourth Proportional to 406.02, 609.10 and 146.06

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Solution

The fourth proportional to 406.02, 609.10 and 146.06 is: 219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.02 : 609.10 = 146.06 : x
  2. Step 2: Convert to fraction form
    406.02/609.10 = 146.06/x
  3. Step 3: Cross multiply
    406.02x = 609.10 × 146.06
  4. Step 4: Simplify right side
    406.02x = 88,965.15
  5. Step 5: Solve for x
    x = 88,965.15/406.02
  6. Step 6: Final answer
    x = 219.12

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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.