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Finding the Fourth Proportional to 201.18, 277.11 and 187.74

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Solution

The fourth proportional to 201.18, 277.11 and 187.74 is: 258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.18 : 277.11 = 187.74 : x
  2. Step 2: Convert to fraction form
    201.18/277.11 = 187.74/x
  3. Step 3: Cross multiply
    201.18x = 277.11 × 187.74
  4. Step 4: Simplify right side
    201.18x = 52,024.63
  5. Step 5: Solve for x
    x = 52,024.63/201.18
  6. Step 6: Final answer
    x = 258.60

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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.