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Finding the Fourth Proportional to 182.50, 251.73 and 147.53

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Solution

The fourth proportional to 182.50, 251.73 and 147.53 is: 203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.50 : 251.73 = 147.53 : x
  2. Step 2: Convert to fraction form
    182.50/251.73 = 147.53/x
  3. Step 3: Cross multiply
    182.50x = 251.73 × 147.53
  4. Step 4: Simplify right side
    182.50x = 37,137.53
  5. Step 5: Solve for x
    x = 37,137.53/182.50
  6. Step 6: Final answer
    x = 203.50

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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.