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Finding the Fourth Proportional to 243.68, 364.04 and 185.74

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Solution

The fourth proportional to 243.68, 364.04 and 185.74 is: 277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.68 : 364.04 = 185.74 : x
  2. Step 2: Convert to fraction form
    243.68/364.04 = 185.74/x
  3. Step 3: Cross multiply
    243.68x = 364.04 × 185.74
  4. Step 4: Simplify right side
    243.68x = 67,618.74
  5. Step 5: Solve for x
    x = 67,618.74/243.68
  6. Step 6: Final answer
    x = 277.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.