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Finding the Fourth Proportional to 304.19, 419.52 and 192.16

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Solution

The fourth proportional to 304.19, 419.52 and 192.16 is: 265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.19 : 419.52 = 192.16 : x
  2. Step 2: Convert to fraction form
    304.19/419.52 = 192.16/x
  3. Step 3: Cross multiply
    304.19x = 419.52 × 192.16
  4. Step 4: Simplify right side
    304.19x = 80,614.96
  5. Step 5: Solve for x
    x = 80,614.96/304.19
  6. Step 6: Final answer
    x = 265.02

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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.