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Finding the Fourth Proportional to 273.76, 410.46 and 177.64

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Solution

The fourth proportional to 273.76, 410.46 and 177.64 is: 266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.76 : 410.46 = 177.64 : x
  2. Step 2: Convert to fraction form
    273.76/410.46 = 177.64/x
  3. Step 3: Cross multiply
    273.76x = 410.46 × 177.64
  4. Step 4: Simplify right side
    273.76x = 72,914.11
  5. Step 5: Solve for x
    x = 72,914.11/273.76
  6. Step 6: Final answer
    x = 266.34

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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.