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Finding the Fourth Proportional to 333.53, 460.28 and 184.16

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Solution

The fourth proportional to 333.53, 460.28 and 184.16 is: 254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.53 : 460.28 = 184.16 : x
  2. Step 2: Convert to fraction form
    333.53/460.28 = 184.16/x
  3. Step 3: Cross multiply
    333.53x = 460.28 × 184.16
  4. Step 4: Simplify right side
    333.53x = 84,765.16
  5. Step 5: Solve for x
    x = 84,765.16/333.53
  6. Step 6: Final answer
    x = 254.15

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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.