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Finding the Fourth Proportional to 187.19, 280.95 and 95.95

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Solution

The fourth proportional to 187.19, 280.95 and 95.95 is: 144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.19 : 280.95 = 95.95 : x
  2. Step 2: Convert to fraction form
    187.19/280.95 = 95.95/x
  3. Step 3: Cross multiply
    187.19x = 280.95 × 95.95
  4. Step 4: Simplify right side
    187.19x = 26,956.69
  5. Step 5: Solve for x
    x = 26,956.69/187.19
  6. Step 6: Final answer
    x = 144.01

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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.