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Finding the Fourth Proportional to 178.00, 245.43 and 158.41

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Solution

The fourth proportional to 178.00, 245.43 and 158.41 is: 218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.00 : 245.43 = 158.41 : x
  2. Step 2: Convert to fraction form
    178.00/245.43 = 158.41/x
  3. Step 3: Cross multiply
    178.00x = 245.43 × 158.41
  4. Step 4: Simplify right side
    178.00x = 38,877.49
  5. Step 5: Solve for x
    x = 38,877.49/178.00
  6. Step 6: Final answer
    x = 218.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.