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Finding the Fourth Proportional to 178.12, 245.77 and 104.40

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Solution

The fourth proportional to 178.12, 245.77 and 104.40 is: 144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.12 : 245.77 = 104.40 : x
  2. Step 2: Convert to fraction form
    178.12/245.77 = 104.40/x
  3. Step 3: Cross multiply
    178.12x = 245.77 × 104.40
  4. Step 4: Simplify right side
    178.12x = 25,658.39
  5. Step 5: Solve for x
    x = 25,658.39/178.12
  6. Step 6: Final answer
    x = 144.05

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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.