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Finding the Fourth Proportional to 243.76, 365.69 and 128.26

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Solution

The fourth proportional to 243.76, 365.69 and 128.26 is: 192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.76 : 365.69 = 128.26 : x
  2. Step 2: Convert to fraction form
    243.76/365.69 = 128.26/x
  3. Step 3: Cross multiply
    243.76x = 365.69 × 128.26
  4. Step 4: Simplify right side
    243.76x = 46,903.40
  5. Step 5: Solve for x
    x = 46,903.40/243.76
  6. Step 6: Final answer
    x = 192.42

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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.