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Finding the Fourth Proportional to 187.68, 260.70 and 184.74

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Solution

The fourth proportional to 187.68, 260.70 and 184.74 is: 256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.68 : 260.70 = 184.74 : x
  2. Step 2: Convert to fraction form
    187.68/260.70 = 184.74/x
  3. Step 3: Cross multiply
    187.68x = 260.70 × 184.74
  4. Step 4: Simplify right side
    187.68x = 48,161.72
  5. Step 5: Solve for x
    x = 48,161.72/187.68
  6. Step 6: Final answer
    x = 256.62

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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.