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Finding the Fourth Proportional to 365.98, 505.10 and 218.60

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Solution

The fourth proportional to 365.98, 505.10 and 218.60 is: 301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.98 : 505.10 = 218.60 : x
  2. Step 2: Convert to fraction form
    365.98/505.10 = 218.60/x
  3. Step 3: Cross multiply
    365.98x = 505.10 × 218.60
  4. Step 4: Simplify right side
    365.98x = 110,413.77
  5. Step 5: Solve for x
    x = 110,413.77/365.98
  6. Step 6: Final answer
    x = 301.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.