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Finding the Fourth Proportional to 183.75, 274.61 and 147.51

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Solution

The fourth proportional to 183.75, 274.61 and 147.51 is: 220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.75 : 274.61 = 147.51 : x
  2. Step 2: Convert to fraction form
    183.75/274.61 = 147.51/x
  3. Step 3: Cross multiply
    183.75x = 274.61 × 147.51
  4. Step 4: Simplify right side
    183.75x = 40,507.72
  5. Step 5: Solve for x
    x = 40,507.72/183.75
  6. Step 6: Final answer
    x = 220.45

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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.