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Finding the Fourth Proportional to 242.63, 334.75 and 137.71

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Solution

The fourth proportional to 242.63, 334.75 and 137.71 is: 189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.63 : 334.75 = 137.71 : x
  2. Step 2: Convert to fraction form
    242.63/334.75 = 137.71/x
  3. Step 3: Cross multiply
    242.63x = 334.75 × 137.71
  4. Step 4: Simplify right side
    242.63x = 46,098.42
  5. Step 5: Solve for x
    x = 46,098.42/242.63
  6. Step 6: Final answer
    x = 189.99

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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.