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Finding the Fourth Proportional to 242.37, 334.16 and 144.09

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Solution

The fourth proportional to 242.37, 334.16 and 144.09 is: 198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.37 : 334.16 = 144.09 : x
  2. Step 2: Convert to fraction form
    242.37/334.16 = 144.09/x
  3. Step 3: Cross multiply
    242.37x = 334.16 × 144.09
  4. Step 4: Simplify right side
    242.37x = 48,149.11
  5. Step 5: Solve for x
    x = 48,149.11/242.37
  6. Step 6: Final answer
    x = 198.66

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Why These Related Problems?

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