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Finding the Fourth Proportional to 333.95, 460.86 and 192.16

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Solution

The fourth proportional to 333.95, 460.86 and 192.16 is: 265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.95 : 460.86 = 192.16 : x
  2. Step 2: Convert to fraction form
    333.95/460.86 = 192.16/x
  3. Step 3: Cross multiply
    333.95x = 460.86 × 192.16
  4. Step 4: Simplify right side
    333.95x = 88,558.86
  5. Step 5: Solve for x
    x = 88,558.86/333.95
  6. Step 6: Final answer
    x = 265.19

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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.