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Finding the Fourth Proportional to 259.88, 358.65 and 149.40

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Solution

The fourth proportional to 259.88, 358.65 and 149.40 is: 206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.88 : 358.65 = 149.40 : x
  2. Step 2: Convert to fraction form
    259.88/358.65 = 149.40/x
  3. Step 3: Cross multiply
    259.88x = 358.65 × 149.40
  4. Step 4: Simplify right side
    259.88x = 53,582.31
  5. Step 5: Solve for x
    x = 53,582.31/259.88
  6. Step 6: Final answer
    x = 206.18

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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.