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Finding the Fourth Proportional to 158.48, 218.64 and 119.18

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Solution

The fourth proportional to 158.48, 218.64 and 119.18 is: 164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.48 : 218.64 = 119.18 : x
  2. Step 2: Convert to fraction form
    158.48/218.64 = 119.18/x
  3. Step 3: Cross multiply
    158.48x = 218.64 × 119.18
  4. Step 4: Simplify right side
    158.48x = 26,057.52
  5. Step 5: Solve for x
    x = 26,057.52/158.48
  6. Step 6: Final answer
    x = 164.42

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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.