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Finding the Fourth Proportional to 147.38, 203.18 and 119.66

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Solution

The fourth proportional to 147.38, 203.18 and 119.66 is: 164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.38 : 203.18 = 119.66 : x
  2. Step 2: Convert to fraction form
    147.38/203.18 = 119.66/x
  3. Step 3: Cross multiply
    147.38x = 203.18 × 119.66
  4. Step 4: Simplify right side
    147.38x = 24,312.52
  5. Step 5: Solve for x
    x = 24,312.52/147.38
  6. Step 6: Final answer
    x = 164.96

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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.