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Finding the Fourth Proportional to 274.07, 377.84 and 186.59

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Solution

The fourth proportional to 274.07, 377.84 and 186.59 is: 257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.07 : 377.84 = 186.59 : x
  2. Step 2: Convert to fraction form
    274.07/377.84 = 186.59/x
  3. Step 3: Cross multiply
    274.07x = 377.84 × 186.59
  4. Step 4: Simplify right side
    274.07x = 70,498.34
  5. Step 5: Solve for x
    x = 70,498.34/274.07
  6. Step 6: Final answer
    x = 257.23

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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.