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Finding the Fourth Proportional to 183.93, 275.39 and 147.18

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Solution

The fourth proportional to 183.93, 275.39 and 147.18 is: 220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.93 : 275.39 = 147.18 : x
  2. Step 2: Convert to fraction form
    183.93/275.39 = 147.18/x
  3. Step 3: Cross multiply
    183.93x = 275.39 × 147.18
  4. Step 4: Simplify right side
    183.93x = 40,531.16
  5. Step 5: Solve for x
    x = 40,531.16/183.93
  6. Step 6: Final answer
    x = 220.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.