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Finding the Fourth Proportional to 358.62, 538.04 and 185.39

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Solution

The fourth proportional to 358.62, 538.04 and 185.39 is: 278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.62 : 538.04 = 185.39 : x
  2. Step 2: Convert to fraction form
    358.62/538.04 = 185.39/x
  3. Step 3: Cross multiply
    358.62x = 538.04 × 185.39
  4. Step 4: Simplify right side
    358.62x = 99,743.62
  5. Step 5: Solve for x
    x = 99,743.62/358.62
  6. Step 6: Final answer
    x = 278.13

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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.