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Finding the Fourth Proportional to 158.19, 218.25 and 109.19

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Solution

The fourth proportional to 158.19, 218.25 and 109.19 is: 150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.19 : 218.25 = 109.19 : x
  2. Step 2: Convert to fraction form
    158.19/218.25 = 109.19/x
  3. Step 3: Cross multiply
    158.19x = 218.25 × 109.19
  4. Step 4: Simplify right side
    158.19x = 23,829.63
  5. Step 5: Solve for x
    x = 23,829.63/158.19
  6. Step 6: Final answer
    x = 150.64

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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.