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Finding the Fourth Proportional to 119.64, 178.18 and 118.20

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Solution

The fourth proportional to 119.64, 178.18 and 118.20 is: 176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.64 : 178.18 = 118.20 : x
  2. Step 2: Convert to fraction form
    119.64/178.18 = 118.20/x
  3. Step 3: Cross multiply
    119.64x = 178.18 × 118.20
  4. Step 4: Simplify right side
    119.64x = 21,060.88
  5. Step 5: Solve for x
    x = 21,060.88/119.64
  6. Step 6: Final answer
    x = 176.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.