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Finding the Fourth Proportional to 242.97, 364.44 and 60.36

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Solution

The fourth proportional to 242.97, 364.44 and 60.36 is: 90.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.97 : 364.44 = 60.36 : x
  2. Step 2: Convert to fraction form
    242.97/364.44 = 60.36/x
  3. Step 3: Cross multiply
    242.97x = 364.44 × 60.36
  4. Step 4: Simplify right side
    242.97x = 21,997.60
  5. Step 5: Solve for x
    x = 21,997.60/242.97
  6. Step 6: Final answer
    x = 90.54

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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.