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Finding the Fourth Proportional to 158.64, 218.84 and 119.76

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Solution

The fourth proportional to 158.64, 218.84 and 119.76 is: 165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.64 : 218.84 = 119.76 : x
  2. Step 2: Convert to fraction form
    158.64/218.84 = 119.76/x
  3. Step 3: Cross multiply
    158.64x = 218.84 × 119.76
  4. Step 4: Simplify right side
    158.64x = 26,208.28
  5. Step 5: Solve for x
    x = 26,208.28/158.64
  6. Step 6: Final answer
    x = 165.21

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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.