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Finding the Fourth Proportional to 242.64, 334.82 and 137.68

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Solution

The fourth proportional to 242.64, 334.82 and 137.68 is: 189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.64 : 334.82 = 137.68 : x
  2. Step 2: Convert to fraction form
    242.64/334.82 = 137.68/x
  3. Step 3: Cross multiply
    242.64x = 334.82 × 137.68
  4. Step 4: Simplify right side
    242.64x = 46,098.02
  5. Step 5: Solve for x
    x = 46,098.02/242.64
  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.