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Finding the Fourth Proportional to 243, 364.68 and 114.75

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Solution

The fourth proportional to 243, 364.68 and 114.75 is: 172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243 : 364.68 = 114.75 : x
  2. Step 2: Convert to fraction form
    243/364.68 = 114.75/x
  3. Step 3: Cross multiply
    243x = 364.68 × 114.75
  4. Step 4: Simplify right side
    243x = 41,847.03
  5. Step 5: Solve for x
    x = 41,847.03/243
  6. Step 6: Final answer
    x = 172.21

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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.