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Finding the Fourth Proportional to 243.83, 365.48 and 185.93

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Solution

The fourth proportional to 243.83, 365.48 and 185.93 is: 278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.83 : 365.48 = 185.93 : x
  2. Step 2: Convert to fraction form
    243.83/365.48 = 185.93/x
  3. Step 3: Cross multiply
    243.83x = 365.48 × 185.93
  4. Step 4: Simplify right side
    243.83x = 67,950.94
  5. Step 5: Solve for x
    x = 67,950.94/243.83
  6. Step 6: Final answer
    x = 278.69

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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.