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Finding the Fourth Proportional to 230.78, 346.29 and 102.50

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Solution

The fourth proportional to 230.78, 346.29 and 102.50 is: 153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.78 : 346.29 = 102.50 : x
  2. Step 2: Convert to fraction form
    230.78/346.29 = 102.50/x
  3. Step 3: Cross multiply
    230.78x = 346.29 × 102.50
  4. Step 4: Simplify right side
    230.78x = 35,494.73
  5. Step 5: Solve for x
    x = 35,494.73/230.78
  6. Step 6: Final answer
    x = 153.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.