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Finding the Fourth Proportional to 239.30, 359.25 and 117.68

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Solution

The fourth proportional to 239.30, 359.25 and 117.68 is: 176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.30 : 359.25 = 117.68 : x
  2. Step 2: Convert to fraction form
    239.30/359.25 = 117.68/x
  3. Step 3: Cross multiply
    239.30x = 359.25 × 117.68
  4. Step 4: Simplify right side
    239.30x = 42,276.54
  5. Step 5: Solve for x
    x = 42,276.54/239.30
  6. Step 6: Final answer
    x = 176.67

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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.