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Finding the Fourth Proportional to 187.72, 260.75 and 184.68

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Solution

The fourth proportional to 187.72, 260.75 and 184.68 is: 256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.72 : 260.75 = 184.68 : x
  2. Step 2: Convert to fraction form
    187.72/260.75 = 184.68/x
  3. Step 3: Cross multiply
    187.72x = 260.75 × 184.68
  4. Step 4: Simplify right side
    187.72x = 48,155.31
  5. Step 5: Solve for x
    x = 48,155.31/187.72
  6. Step 6: Final answer
    x = 256.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.