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Finding the Fourth Proportional to 409.93, 615.02 and 178.71

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Solution

The fourth proportional to 409.93, 615.02 and 178.71 is: 268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.93 : 615.02 = 178.71 : x
  2. Step 2: Convert to fraction form
    409.93/615.02 = 178.71/x
  3. Step 3: Cross multiply
    409.93x = 615.02 × 178.71
  4. Step 4: Simplify right side
    409.93x = 109,910.22
  5. Step 5: Solve for x
    x = 109,910.22/409.93
  6. Step 6: Final answer
    x = 268.12

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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.