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Finding the Fourth Proportional to 239.09, 358.49 and 100.10

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Solution

The fourth proportional to 239.09, 358.49 and 100.10 is: 150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.09 : 358.49 = 100.10 : x
  2. Step 2: Convert to fraction form
    239.09/358.49 = 100.10/x
  3. Step 3: Cross multiply
    239.09x = 358.49 × 100.10
  4. Step 4: Simplify right side
    239.09x = 35,884.85
  5. Step 5: Solve for x
    x = 35,884.85/239.09
  6. Step 6: Final answer
    x = 150.09

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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.