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Finding the Fourth Proportional to 178.13, 245.84 and 120.03

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Solution

The fourth proportional to 178.13, 245.84 and 120.03 is: 165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.13 : 245.84 = 120.03 : x
  2. Step 2: Convert to fraction form
    178.13/245.84 = 120.03/x
  3. Step 3: Cross multiply
    178.13x = 245.84 × 120.03
  4. Step 4: Simplify right side
    178.13x = 29,507.58
  5. Step 5: Solve for x
    x = 29,507.58/178.13
  6. Step 6: Final answer
    x = 165.66

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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.