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Finding the Fourth Proportional to 187.68, 257.30 and 187.18

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Solution

The fourth proportional to 187.68, 257.30 and 187.18 is: 256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.68 : 257.30 = 187.18 : x
  2. Step 2: Convert to fraction form
    187.68/257.30 = 187.18/x
  3. Step 3: Cross multiply
    187.68x = 257.30 × 187.18
  4. Step 4: Simplify right side
    187.68x = 48,161.41
  5. Step 5: Solve for x
    x = 48,161.41/187.68
  6. Step 6: Final answer
    x = 256.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.