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Finding the Fourth Proportional to 187.99, 281.83 and 147.60

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Solution

The fourth proportional to 187.99, 281.83 and 147.60 is: 221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.99 : 281.83 = 147.60 : x
  2. Step 2: Convert to fraction form
    187.99/281.83 = 147.60/x
  3. Step 3: Cross multiply
    187.99x = 281.83 × 147.60
  4. Step 4: Simplify right side
    187.99x = 41,598.11
  5. Step 5: Solve for x
    x = 41,598.11/187.99
  6. Step 6: Final answer
    x = 221.28

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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.