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Finding the Fourth Proportional to 258.26, 385.59 and 230.72

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Solution

The fourth proportional to 258.26, 385.59 and 230.72 is: 344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.26 : 385.59 = 230.72 : x
  2. Step 2: Convert to fraction form
    258.26/385.59 = 230.72/x
  3. Step 3: Cross multiply
    258.26x = 385.59 × 230.72
  4. Step 4: Simplify right side
    258.26x = 88,962.26
  5. Step 5: Solve for x
    x = 88,962.26/258.26
  6. Step 6: Final answer
    x = 344.47

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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.