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Finding the Fourth Proportional to 304.28, 455.64 and 182.24

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Solution

The fourth proportional to 304.28, 455.64 and 182.24 is: 272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.28 : 455.64 = 182.24 : x
  2. Step 2: Convert to fraction form
    304.28/455.64 = 182.24/x
  3. Step 3: Cross multiply
    304.28x = 455.64 × 182.24
  4. Step 4: Simplify right side
    304.28x = 83,035.83
  5. Step 5: Solve for x
    x = 83,035.83/304.28
  6. Step 6: Final answer
    x = 272.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.