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Finding the Fourth Proportional to 259.61, 358.25 and 149.09

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Solution

The fourth proportional to 259.61, 358.25 and 149.09 is: 205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.61 : 358.25 = 149.09 : x
  2. Step 2: Convert to fraction form
    259.61/358.25 = 149.09/x
  3. Step 3: Cross multiply
    259.61x = 358.25 × 149.09
  4. Step 4: Simplify right side
    259.61x = 53,411.49
  5. Step 5: Solve for x
    x = 53,411.49/259.61
  6. Step 6: Final answer
    x = 205.74

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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.