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Finding the Fourth Proportional to 242.00, 334.01 and 137.09

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Solution

The fourth proportional to 242.00, 334.01 and 137.09 is: 189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.00 : 334.01 = 137.09 : x
  2. Step 2: Convert to fraction form
    242.00/334.01 = 137.09/x
  3. Step 3: Cross multiply
    242.00x = 334.01 × 137.09
  4. Step 4: Simplify right side
    242.00x = 45,787.08
  5. Step 5: Solve for x
    x = 45,787.08/242.00
  6. Step 6: Final answer
    x = 189.21

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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.