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Finding the Fourth Proportional to 242.06, 334.06 and 137.18

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Solution

The fourth proportional to 242.06, 334.06 and 137.18 is: 189.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.06 : 334.06 = 137.18 : x
  2. Step 2: Convert to fraction form
    242.06/334.06 = 137.18/x
  3. Step 3: Cross multiply
    242.06x = 334.06 × 137.18
  4. Step 4: Simplify right side
    242.06x = 45,826.84
  5. Step 5: Solve for x
    x = 45,826.84/242.06
  6. Step 6: Final answer
    x = 189.32

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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.