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Finding the Fourth Proportional to 230.25, 344.06 and 175.10

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Solution

The fourth proportional to 230.25, 344.06 and 175.10 is: 261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.25 : 344.06 = 175.10 : x
  2. Step 2: Convert to fraction form
    230.25/344.06 = 175.10/x
  3. Step 3: Cross multiply
    230.25x = 344.06 × 175.10
  4. Step 4: Simplify right side
    230.25x = 60,244.91
  5. Step 5: Solve for x
    x = 60,244.91/230.25
  6. Step 6: Final answer
    x = 261.65

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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.