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Finding the Fourth Proportional to 225.60, 338.40 and 171.78

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Solution

The fourth proportional to 225.60, 338.40 and 171.78 is: 257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.60 : 338.40 = 171.78 : x
  2. Step 2: Convert to fraction form
    225.60/338.40 = 171.78/x
  3. Step 3: Cross multiply
    225.60x = 338.40 × 171.78
  4. Step 4: Simplify right side
    225.60x = 58,130.35
  5. Step 5: Solve for x
    x = 58,130.35/225.60
  6. Step 6: Final answer
    x = 257.67

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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.