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Finding the Fourth Proportional to 242.24, 334.22 and 142.64

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Solution

The fourth proportional to 242.24, 334.22 and 142.64 is: 196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.24 : 334.22 = 142.64 : x
  2. Step 2: Convert to fraction form
    242.24/334.22 = 142.64/x
  3. Step 3: Cross multiply
    242.24x = 334.22 × 142.64
  4. Step 4: Simplify right side
    242.24x = 47,673.14
  5. Step 5: Solve for x
    x = 47,673.14/242.24
  6. Step 6: Final answer
    x = 196.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.