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Finding the Fourth Proportional to 403.36, 605.06 and 146.80

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Solution

The fourth proportional to 403.36, 605.06 and 146.80 is: 220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.36 : 605.06 = 146.80 : x
  2. Step 2: Convert to fraction form
    403.36/605.06 = 146.80/x
  3. Step 3: Cross multiply
    403.36x = 605.06 × 146.80
  4. Step 4: Simplify right side
    403.36x = 88,822.81
  5. Step 5: Solve for x
    x = 88,822.81/403.36
  6. Step 6: Final answer
    x = 220.21

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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.