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Finding the Fourth Proportional to 243.32, 364.60 and 161.86

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Solution

The fourth proportional to 243.32, 364.60 and 161.86 is: 242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.32 : 364.60 = 161.86 : x
  2. Step 2: Convert to fraction form
    243.32/364.60 = 161.86/x
  3. Step 3: Cross multiply
    243.32x = 364.60 × 161.86
  4. Step 4: Simplify right side
    243.32x = 59,014.16
  5. Step 5: Solve for x
    x = 59,014.16/243.32
  6. Step 6: Final answer
    x = 242.54

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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.