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Finding the Fourth Proportional to 305.01, 420.81 and 180.58

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Solution

The fourth proportional to 305.01, 420.81 and 180.58 is: 249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.01 : 420.81 = 180.58 : x
  2. Step 2: Convert to fraction form
    305.01/420.81 = 180.58/x
  3. Step 3: Cross multiply
    305.01x = 420.81 × 180.58
  4. Step 4: Simplify right side
    305.01x = 75,989.87
  5. Step 5: Solve for x
    x = 75,989.87/305.01
  6. Step 6: Final answer
    x = 249.14

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