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Finding the Fourth Proportional to 335.79, 463.32 and 188.46

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Solution

The fourth proportional to 335.79, 463.32 and 188.46 is: 260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.79 : 463.32 = 188.46 : x
  2. Step 2: Convert to fraction form
    335.79/463.32 = 188.46/x
  3. Step 3: Cross multiply
    335.79x = 463.32 × 188.46
  4. Step 4: Simplify right side
    335.79x = 87,317.29
  5. Step 5: Solve for x
    x = 87,317.29/335.79
  6. Step 6: Final answer
    x = 260.04

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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.