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Finding the Fourth Proportional to 273.51, 377.00 and 180.07

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Solution

The fourth proportional to 273.51, 377.00 and 180.07 is: 248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.51 : 377.00 = 180.07 : x
  2. Step 2: Convert to fraction form
    273.51/377.00 = 180.07/x
  3. Step 3: Cross multiply
    273.51x = 377.00 × 180.07
  4. Step 4: Simplify right side
    273.51x = 67,885.49
  5. Step 5: Solve for x
    x = 67,885.49/273.51
  6. Step 6: Final answer
    x = 248.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.