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Finding the Fourth Proportional to 259.54, 358.19 and 149.04

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Solution

The fourth proportional to 259.54, 358.19 and 149.04 is: 205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.54 : 358.19 = 149.04 : x
  2. Step 2: Convert to fraction form
    259.54/358.19 = 149.04/x
  3. Step 3: Cross multiply
    259.54x = 358.19 × 149.04
  4. Step 4: Simplify right side
    259.54x = 53,384.45
  5. Step 5: Solve for x
    x = 53,384.45/259.54
  6. Step 6: Final answer
    x = 205.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.