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Finding the Fourth Proportional to 178.24, 245.76 and 120.02

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Solution

The fourth proportional to 178.24, 245.76 and 120.02 is: 165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.24 : 245.76 = 120.02 : x
  2. Step 2: Convert to fraction form
    178.24/245.76 = 120.02/x
  3. Step 3: Cross multiply
    178.24x = 245.76 × 120.02
  4. Step 4: Simplify right side
    178.24x = 29,496.12
  5. Step 5: Solve for x
    x = 29,496.12/178.24
  6. Step 6: Final answer
    x = 165.49

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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.