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Finding the Fourth Proportional to 335.54, 463.04 and 188.18

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Solution

The fourth proportional to 335.54, 463.04 and 188.18 is: 259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.54 : 463.04 = 188.18 : x
  2. Step 2: Convert to fraction form
    335.54/463.04 = 188.18/x
  3. Step 3: Cross multiply
    335.54x = 463.04 × 188.18
  4. Step 4: Simplify right side
    335.54x = 87,134.05
  5. Step 5: Solve for x
    x = 87,134.05/335.54
  6. Step 6: Final answer
    x = 259.68

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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.