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Finding the Fourth Proportional to 187.05, 280.35 and 95.77

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Solution

The fourth proportional to 187.05, 280.35 and 95.77 is: 143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.05 : 280.35 = 95.77 : x
  2. Step 2: Convert to fraction form
    187.05/280.35 = 95.77/x
  3. Step 3: Cross multiply
    187.05x = 280.35 × 95.77
  4. Step 4: Simplify right side
    187.05x = 26,849.12
  5. Step 5: Solve for x
    x = 26,849.12/187.05
  6. Step 6: Final answer
    x = 143.54

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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.