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Finding the Fourth Proportional to 274.14, 410.79 and 177.75

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Solution

The fourth proportional to 274.14, 410.79 and 177.75 is: 266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.14 : 410.79 = 177.75 : x
  2. Step 2: Convert to fraction form
    274.14/410.79 = 177.75/x
  3. Step 3: Cross multiply
    274.14x = 410.79 × 177.75
  4. Step 4: Simplify right side
    274.14x = 73,017.92
  5. Step 5: Solve for x
    x = 73,017.92/274.14
  6. Step 6: Final answer
    x = 266.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.