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Finding the Fourth Proportional to 187.05, 256.93 and 154.23

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Solution

The fourth proportional to 187.05, 256.93 and 154.23 is: 211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.05 : 256.93 = 154.23 : x
  2. Step 2: Convert to fraction form
    187.05/256.93 = 154.23/x
  3. Step 3: Cross multiply
    187.05x = 256.93 × 154.23
  4. Step 4: Simplify right side
    187.05x = 39,625.93
  5. Step 5: Solve for x
    x = 39,625.93/187.05
  6. Step 6: Final answer
    x = 211.85

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