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Finding the Fourth Proportional to 305.04, 420.96 and 180.77

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Solution

The fourth proportional to 305.04, 420.96 and 180.77 is: 249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.04 : 420.96 = 180.77 : x
  2. Step 2: Convert to fraction form
    305.04/420.96 = 180.77/x
  3. Step 3: Cross multiply
    305.04x = 420.96 × 180.77
  4. Step 4: Simplify right side
    305.04x = 76,096.53
  5. Step 5: Solve for x
    x = 76,096.53/305.04
  6. Step 6: Final answer
    x = 249.46

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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.