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Finding the Fourth Proportional to 239.05, 358.33 and 101.98

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Solution

The fourth proportional to 239.05, 358.33 and 101.98 is: 152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.05 : 358.33 = 101.98 : x
  2. Step 2: Convert to fraction form
    239.05/358.33 = 101.98/x
  3. Step 3: Cross multiply
    239.05x = 358.33 × 101.98
  4. Step 4: Simplify right side
    239.05x = 36,542.49
  5. Step 5: Solve for x
    x = 36,542.49/239.05
  6. Step 6: Final answer
    x = 152.87

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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.