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Finding the Fourth Proportional to 178.46, 268.41 and 142.46

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Solution

The fourth proportional to 178.46, 268.41 and 142.46 is: 214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.46 : 268.41 = 142.46 : x
  2. Step 2: Convert to fraction form
    178.46/268.41 = 142.46/x
  3. Step 3: Cross multiply
    178.46x = 268.41 × 142.46
  4. Step 4: Simplify right side
    178.46x = 38,237.69
  5. Step 5: Solve for x
    x = 38,237.69/178.46
  6. Step 6: Final answer
    x = 214.26

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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.