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Finding the Fourth Proportional to 187.32, 280.89 and 146.65

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Solution

The fourth proportional to 187.32, 280.89 and 146.65 is: 219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.32 : 280.89 = 146.65 : x
  2. Step 2: Convert to fraction form
    187.32/280.89 = 146.65/x
  3. Step 3: Cross multiply
    187.32x = 280.89 × 146.65
  4. Step 4: Simplify right side
    187.32x = 41,194.14
  5. Step 5: Solve for x
    x = 41,194.14/187.32
  6. Step 6: Final answer
    x = 219.91

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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.