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Finding the Fourth Proportional to 242.56, 334.72 and 137.63

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Solution

The fourth proportional to 242.56, 334.72 and 137.63 is: 189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.56 : 334.72 = 137.63 : x
  2. Step 2: Convert to fraction form
    242.56/334.72 = 137.63/x
  3. Step 3: Cross multiply
    242.56x = 334.72 × 137.63
  4. Step 4: Simplify right side
    242.56x = 46,065.24
  5. Step 5: Solve for x
    x = 46,065.24/242.56
  6. Step 6: Final answer
    x = 189.91

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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.