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Finding the Fourth Proportional to 335.60, 463.13 and 188.23

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Solution

The fourth proportional to 335.60, 463.13 and 188.23 is: 259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.60 : 463.13 = 188.23 : x
  2. Step 2: Convert to fraction form
    335.60/463.13 = 188.23/x
  3. Step 3: Cross multiply
    335.60x = 463.13 × 188.23
  4. Step 4: Simplify right side
    335.60x = 87,174.96
  5. Step 5: Solve for x
    x = 87,174.96/335.60
  6. Step 6: Final answer
    x = 259.76

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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.