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Finding the Fourth Proportional to 273.48, 410.90 and 176.02

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Solution

The fourth proportional to 273.48, 410.90 and 176.02 is: 264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.48 : 410.90 = 176.02 : x
  2. Step 2: Convert to fraction form
    273.48/410.90 = 176.02/x
  3. Step 3: Cross multiply
    273.48x = 410.90 × 176.02
  4. Step 4: Simplify right side
    273.48x = 72,326.62
  5. Step 5: Solve for x
    x = 72,326.62/273.48
  6. Step 6: Final answer
    x = 264.47

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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.