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Finding the Fourth Proportional to 242.45, 334.57 and 142.86

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Solution

The fourth proportional to 242.45, 334.57 and 142.86 is: 197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.45 : 334.57 = 142.86 : x
  2. Step 2: Convert to fraction form
    242.45/334.57 = 142.86/x
  3. Step 3: Cross multiply
    242.45x = 334.57 × 142.86
  4. Step 4: Simplify right side
    242.45x = 47,796.31
  5. Step 5: Solve for x
    x = 47,796.31/242.45
  6. Step 6: Final answer
    x = 197.14

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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.