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Finding the Fourth Proportional to 242.07, 333.78 and 186.68

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Solution

The fourth proportional to 242.07, 333.78 and 186.68 is: 257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.07 : 333.78 = 186.68 : x
  2. Step 2: Convert to fraction form
    242.07/333.78 = 186.68/x
  3. Step 3: Cross multiply
    242.07x = 333.78 × 186.68
  4. Step 4: Simplify right side
    242.07x = 62,310.05
  5. Step 5: Solve for x
    x = 62,310.05/242.07
  6. Step 6: Final answer
    x = 257.41

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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.