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Finding the Fourth Proportional to 259.80, 358.47 and 149.25

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Solution

The fourth proportional to 259.80, 358.47 and 149.25 is: 205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.80 : 358.47 = 149.25 : x
  2. Step 2: Convert to fraction form
    259.80/358.47 = 149.25/x
  3. Step 3: Cross multiply
    259.80x = 358.47 × 149.25
  4. Step 4: Simplify right side
    259.80x = 53,501.65
  5. Step 5: Solve for x
    x = 53,501.65/259.80
  6. Step 6: Final answer
    x = 205.93

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