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Finding the Fourth Proportional to 158.69, 238.14 and 120.22

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Solution

The fourth proportional to 158.69, 238.14 and 120.22 is: 180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.69 : 238.14 = 120.22 : x
  2. Step 2: Convert to fraction form
    158.69/238.14 = 120.22/x
  3. Step 3: Cross multiply
    158.69x = 238.14 × 120.22
  4. Step 4: Simplify right side
    158.69x = 28,628.60
  5. Step 5: Solve for x
    x = 28,628.60/158.69
  6. Step 6: Final answer
    x = 180.40

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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.