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Finding the Fourth Proportional to 274.77, 379.32 and 187.90

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Solution

The fourth proportional to 274.77, 379.32 and 187.90 is: 259.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.77 : 379.32 = 187.90 : x
  2. Step 2: Convert to fraction form
    274.77/379.32 = 187.90/x
  3. Step 3: Cross multiply
    274.77x = 379.32 × 187.90
  4. Step 4: Simplify right side
    274.77x = 71,274.23
  5. Step 5: Solve for x
    x = 71,274.23/274.77
  6. Step 6: Final answer
    x = 259.40

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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.