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Finding the Fourth Proportional to 243.15, 364.61 and 177.94

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Solution

The fourth proportional to 243.15, 364.61 and 177.94 is: 266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.15 : 364.61 = 177.94 : x
  2. Step 2: Convert to fraction form
    243.15/364.61 = 177.94/x
  3. Step 3: Cross multiply
    243.15x = 364.61 × 177.94
  4. Step 4: Simplify right side
    243.15x = 64,879.60
  5. Step 5: Solve for x
    x = 64,879.60/243.15
  6. Step 6: Final answer
    x = 266.83

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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.