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Finding the Fourth Proportional to 187.23, 257.76 and 138.06

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Solution

The fourth proportional to 187.23, 257.76 and 138.06 is: 190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.23 : 257.76 = 138.06 : x
  2. Step 2: Convert to fraction form
    187.23/257.76 = 138.06/x
  3. Step 3: Cross multiply
    187.23x = 257.76 × 138.06
  4. Step 4: Simplify right side
    187.23x = 35,586.35
  5. Step 5: Solve for x
    x = 35,586.35/187.23
  6. Step 6: Final answer
    x = 190.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.