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Finding the Fourth Proportional to 187.05, 280.62 and 65.31

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Solution

The fourth proportional to 187.05, 280.62 and 65.31 is: 97.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.05 : 280.62 = 65.31 : x
  2. Step 2: Convert to fraction form
    187.05/280.62 = 65.31/x
  3. Step 3: Cross multiply
    187.05x = 280.62 × 65.31
  4. Step 4: Simplify right side
    187.05x = 18,327.29
  5. Step 5: Solve for x
    x = 18,327.29/187.05
  6. Step 6: Final answer
    x = 97.98

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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.