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Finding the Fourth Proportional to 399.12, 598.26 and 182.88

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Solution

The fourth proportional to 399.12, 598.26 and 182.88 is: 274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.12 : 598.26 = 182.88 : x
  2. Step 2: Convert to fraction form
    399.12/598.26 = 182.88/x
  3. Step 3: Cross multiply
    399.12x = 598.26 × 182.88
  4. Step 4: Simplify right side
    399.12x = 109,409.79
  5. Step 5: Solve for x
    x = 109,409.79/399.12
  6. Step 6: Final answer
    x = 274.13

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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.