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Finding the Fourth Proportional to 288.09, 397.39 and 182.98

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Solution

The fourth proportional to 288.09, 397.39 and 182.98 is: 252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.09 : 397.39 = 182.98 : x
  2. Step 2: Convert to fraction form
    288.09/397.39 = 182.98/x
  3. Step 3: Cross multiply
    288.09x = 397.39 × 182.98
  4. Step 4: Simplify right side
    288.09x = 72,714.42
  5. Step 5: Solve for x
    x = 72,714.42/288.09
  6. Step 6: Final answer
    x = 252.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.