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Finding the Fourth Proportional to 187.53, 280.93 and 146.76

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Solution

The fourth proportional to 187.53, 280.93 and 146.76 is: 219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.53 : 280.93 = 146.76 : x
  2. Step 2: Convert to fraction form
    187.53/280.93 = 146.76/x
  3. Step 3: Cross multiply
    187.53x = 280.93 × 146.76
  4. Step 4: Simplify right side
    187.53x = 41,229.29
  5. Step 5: Solve for x
    x = 41,229.29/187.53
  6. Step 6: Final answer
    x = 219.85

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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.