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Finding the Fourth Proportional to 187.94, 281.45 and 147.26

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Solution

The fourth proportional to 187.94, 281.45 and 147.26 is: 220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.94 : 281.45 = 147.26 : x
  2. Step 2: Convert to fraction form
    187.94/281.45 = 147.26/x
  3. Step 3: Cross multiply
    187.94x = 281.45 × 147.26
  4. Step 4: Simplify right side
    187.94x = 41,444.18
  5. Step 5: Solve for x
    x = 41,444.18/187.94
  6. Step 6: Final answer
    x = 220.52

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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.