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Finding the Fourth Proportional to 333.96, 460.85 and 186.58

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Solution

The fourth proportional to 333.96, 460.85 and 186.58 is: 257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.96 : 460.85 = 186.58 : x
  2. Step 2: Convert to fraction form
    333.96/460.85 = 186.58/x
  3. Step 3: Cross multiply
    333.96x = 460.85 × 186.58
  4. Step 4: Simplify right side
    333.96x = 85,985.39
  5. Step 5: Solve for x
    x = 85,985.39/333.96
  6. Step 6: Final answer
    x = 257.47

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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.