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Finding the Fourth Proportional to 243.14, 364.64 and 96.84

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Solution

The fourth proportional to 243.14, 364.64 and 96.84 is: 145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.14 : 364.64 = 96.84 : x
  2. Step 2: Convert to fraction form
    243.14/364.64 = 96.84/x
  3. Step 3: Cross multiply
    243.14x = 364.64 × 96.84
  4. Step 4: Simplify right side
    243.14x = 35,311.25
  5. Step 5: Solve for x
    x = 35,311.25/243.14
  6. Step 6: Final answer
    x = 145.23

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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.