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Finding the Fourth Proportional to 178.14, 245.82 and 104.50

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Solution

The fourth proportional to 178.14, 245.82 and 104.50 is: 144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.14 : 245.82 = 104.50 : x
  2. Step 2: Convert to fraction form
    178.14/245.82 = 104.50/x
  3. Step 3: Cross multiply
    178.14x = 245.82 × 104.50
  4. Step 4: Simplify right side
    178.14x = 25,688.19
  5. Step 5: Solve for x
    x = 25,688.19/178.14
  6. Step 6: Final answer
    x = 144.20

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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.