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Finding the Fourth Proportional to 187.40, 257.33 and 158.24

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Solution

The fourth proportional to 187.40, 257.33 and 158.24 is: 217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.40 : 257.33 = 158.24 : x
  2. Step 2: Convert to fraction form
    187.40/257.33 = 158.24/x
  3. Step 3: Cross multiply
    187.40x = 257.33 × 158.24
  4. Step 4: Simplify right side
    187.40x = 40,719.90
  5. Step 5: Solve for x
    x = 40,719.90/187.40
  6. Step 6: Final answer
    x = 217.29

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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.