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Finding the Fourth Proportional to 242.05, 334.02 and 137.14

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Solution

The fourth proportional to 242.05, 334.02 and 137.14 is: 189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.05 : 334.02 = 137.14 : x
  2. Step 2: Convert to fraction form
    242.05/334.02 = 137.14/x
  3. Step 3: Cross multiply
    242.05x = 334.02 × 137.14
  4. Step 4: Simplify right side
    242.05x = 45,807.50
  5. Step 5: Solve for x
    x = 45,807.50/242.05
  6. Step 6: Final answer
    x = 189.25

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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.