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Finding the Fourth Proportional to 230.88, 346.32 and 102.63

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Solution

The fourth proportional to 230.88, 346.32 and 102.63 is: 153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.88 : 346.32 = 102.63 : x
  2. Step 2: Convert to fraction form
    230.88/346.32 = 102.63/x
  3. Step 3: Cross multiply
    230.88x = 346.32 × 102.63
  4. Step 4: Simplify right side
    230.88x = 35,542.82
  5. Step 5: Solve for x
    x = 35,542.82/230.88
  6. Step 6: Final answer
    x = 153.95

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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.