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Finding the Fourth Proportional to 187.13, 280.53 and 95.63

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Solution

The fourth proportional to 187.13, 280.53 and 95.63 is: 143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.13 : 280.53 = 95.63 : x
  2. Step 2: Convert to fraction form
    187.13/280.53 = 95.63/x
  3. Step 3: Cross multiply
    187.13x = 280.53 × 95.63
  4. Step 4: Simplify right side
    187.13x = 26,826.86
  5. Step 5: Solve for x
    x = 26,826.86/187.13
  6. Step 6: Final answer
    x = 143.36

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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.