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Finding the Fourth Proportional to 273.98, 410.32 and 176.17

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Solution

The fourth proportional to 273.98, 410.32 and 176.17 is: 263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.98 : 410.32 = 176.17 : x
  2. Step 2: Convert to fraction form
    273.98/410.32 = 176.17/x
  3. Step 3: Cross multiply
    273.98x = 410.32 × 176.17
  4. Step 4: Simplify right side
    273.98x = 72,286.07
  5. Step 5: Solve for x
    x = 72,286.07/273.98
  6. Step 6: Final answer
    x = 263.84

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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.