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Finding the Fourth Proportional to 370.58, 556.23 and 178.34

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Solution

The fourth proportional to 370.58, 556.23 and 178.34 is: 267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.58 : 556.23 = 178.34 : x
  2. Step 2: Convert to fraction form
    370.58/556.23 = 178.34/x
  3. Step 3: Cross multiply
    370.58x = 556.23 × 178.34
  4. Step 4: Simplify right side
    370.58x = 99,198.06
  5. Step 5: Solve for x
    x = 99,198.06/370.58
  6. Step 6: Final answer
    x = 267.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.