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Finding the Fourth Proportional to 147.04, 219.47 and 110.80

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Solution

The fourth proportional to 147.04, 219.47 and 110.80 is: 165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.04 : 219.47 = 110.80 : x
  2. Step 2: Convert to fraction form
    147.04/219.47 = 110.80/x
  3. Step 3: Cross multiply
    147.04x = 219.47 × 110.80
  4. Step 4: Simplify right side
    147.04x = 24,317.28
  5. Step 5: Solve for x
    x = 24,317.28/147.04
  6. Step 6: Final answer
    x = 165.38

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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.