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Finding the Fourth Proportional to 187.33, 280.65 and 146.56

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Solution

The fourth proportional to 187.33, 280.65 and 146.56 is: 219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.33 : 280.65 = 146.56 : x
  2. Step 2: Convert to fraction form
    187.33/280.65 = 146.56/x
  3. Step 3: Cross multiply
    187.33x = 280.65 × 146.56
  4. Step 4: Simplify right side
    187.33x = 41,132.06
  5. Step 5: Solve for x
    x = 41,132.06/187.33
  6. Step 6: Final answer
    x = 219.57

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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.