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Finding the Fourth Proportional to 273.16, 410.04 and 151.66

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Solution

The fourth proportional to 273.16, 410.04 and 151.66 is: 227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.16 : 410.04 = 151.66 : x
  2. Step 2: Convert to fraction form
    273.16/410.04 = 151.66/x
  3. Step 3: Cross multiply
    273.16x = 410.04 × 151.66
  4. Step 4: Simplify right side
    273.16x = 62,186.67
  5. Step 5: Solve for x
    x = 62,186.67/273.16
  6. Step 6: Final answer
    x = 227.66

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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.