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Finding the Fourth Proportional to 230.84, 345.85 and 192.57

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Solution

The fourth proportional to 230.84, 345.85 and 192.57 is: 288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.84 : 345.85 = 192.57 : x
  2. Step 2: Convert to fraction form
    230.84/345.85 = 192.57/x
  3. Step 3: Cross multiply
    230.84x = 345.85 × 192.57
  4. Step 4: Simplify right side
    230.84x = 66,600.61
  5. Step 5: Solve for x
    x = 66,600.61/230.84
  6. Step 6: Final answer
    x = 288.51

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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.