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Finding the Fourth Proportional to 259.54, 357.75 and 238.35

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Solution

The fourth proportional to 259.54, 357.75 and 238.35 is: 328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.54 : 357.75 = 238.35 : x
  2. Step 2: Convert to fraction form
    259.54/357.75 = 238.35/x
  3. Step 3: Cross multiply
    259.54x = 357.75 × 238.35
  4. Step 4: Simplify right side
    259.54x = 85,269.71
  5. Step 5: Solve for x
    x = 85,269.71/259.54
  6. Step 6: Final answer
    x = 328.54

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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.