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Finding the Fourth Proportional to 259.16, 386.85 and 239.72

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Solution

The fourth proportional to 259.16, 386.85 and 239.72 is: 357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.16 : 386.85 = 239.72 : x
  2. Step 2: Convert to fraction form
    259.16/386.85 = 239.72/x
  3. Step 3: Cross multiply
    259.16x = 386.85 × 239.72
  4. Step 4: Simplify right side
    259.16x = 92,734.48
  5. Step 5: Solve for x
    x = 92,734.48/259.16
  6. Step 6: Final answer
    x = 357.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.