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Finding the Fourth Proportional to 333.77, 460.68 and 186.46

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Solution

The fourth proportional to 333.77, 460.68 and 186.46 is: 257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.77 : 460.68 = 186.46 : x
  2. Step 2: Convert to fraction form
    333.77/460.68 = 186.46/x
  3. Step 3: Cross multiply
    333.77x = 460.68 × 186.46
  4. Step 4: Simplify right side
    333.77x = 85,898.39
  5. Step 5: Solve for x
    x = 85,898.39/333.77
  6. Step 6: Final answer
    x = 257.36

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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.