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Finding the Fourth Proportional to 230.58, 347.03 and 173.10

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Solution

The fourth proportional to 230.58, 347.03 and 173.10 is: 260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.58 : 347.03 = 173.10 : x
  2. Step 2: Convert to fraction form
    230.58/347.03 = 173.10/x
  3. Step 3: Cross multiply
    230.58x = 347.03 × 173.10
  4. Step 4: Simplify right side
    230.58x = 60,072.95
  5. Step 5: Solve for x
    x = 60,072.95/230.58
  6. Step 6: Final answer
    x = 260.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.