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Finding the Fourth Proportional to 178.00, 268.21 and 158.36

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Solution

The fourth proportional to 178.00, 268.21 and 158.36 is: 238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.00 : 268.21 = 158.36 : x
  2. Step 2: Convert to fraction form
    178.00/268.21 = 158.36/x
  3. Step 3: Cross multiply
    178.00x = 268.21 × 158.36
  4. Step 4: Simplify right side
    178.00x = 42,472.59
  5. Step 5: Solve for x
    x = 42,472.59/178.00
  6. Step 6: Final answer
    x = 238.61

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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.