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Finding the Fourth Proportional to 187.18, 280.35 and 156.76

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Solution

The fourth proportional to 187.18, 280.35 and 156.76 is: 234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.18 : 280.35 = 156.76 : x
  2. Step 2: Convert to fraction form
    187.18/280.35 = 156.76/x
  3. Step 3: Cross multiply
    187.18x = 280.35 × 156.76
  4. Step 4: Simplify right side
    187.18x = 43,947.67
  5. Step 5: Solve for x
    x = 43,947.67/187.18
  6. Step 6: Final answer
    x = 234.79

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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.