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Finding the Fourth Proportional to 242.08, 333.75 and 234.79

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Solution

The fourth proportional to 242.08, 333.75 and 234.79 is: 323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.08 : 333.75 = 234.79 : x
  2. Step 2: Convert to fraction form
    242.08/333.75 = 234.79/x
  3. Step 3: Cross multiply
    242.08x = 333.75 × 234.79
  4. Step 4: Simplify right side
    242.08x = 78,361.16
  5. Step 5: Solve for x
    x = 78,361.16/242.08
  6. Step 6: Final answer
    x = 323.70

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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.