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Finding the Fourth Proportional to 147.44, 220.26 and 118.62

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Solution

The fourth proportional to 147.44, 220.26 and 118.62 is: 177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.44 : 220.26 = 118.62 : x
  2. Step 2: Convert to fraction form
    147.44/220.26 = 118.62/x
  3. Step 3: Cross multiply
    147.44x = 220.26 × 118.62
  4. Step 4: Simplify right side
    147.44x = 26,127.24
  5. Step 5: Solve for x
    x = 26,127.24/147.44
  6. Step 6: Final answer
    x = 177.21

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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.