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Finding the Fourth Proportional to 305.49, 421.61 and 187.46

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Solution

The fourth proportional to 305.49, 421.61 and 187.46 is: 258.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.49 : 421.61 = 187.46 : x
  2. Step 2: Convert to fraction form
    305.49/421.61 = 187.46/x
  3. Step 3: Cross multiply
    305.49x = 421.61 × 187.46
  4. Step 4: Simplify right side
    305.49x = 79,035.01
  5. Step 5: Solve for x
    x = 79,035.01/305.49
  6. Step 6: Final answer
    x = 258.72

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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.