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Finding the Fourth Proportional to 242.94, 364.44 and 114.69

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Solution

The fourth proportional to 242.94, 364.44 and 114.69 is: 172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.94 : 364.44 = 114.69 : x
  2. Step 2: Convert to fraction form
    242.94/364.44 = 114.69/x
  3. Step 3: Cross multiply
    242.94x = 364.44 × 114.69
  4. Step 4: Simplify right side
    242.94x = 41,797.62
  5. Step 5: Solve for x
    x = 41,797.62/242.94
  6. Step 6: Final answer
    x = 172.05

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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.