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Finding the Fourth Proportional to 302.78, 454.17 and 187.56

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Solution

The fourth proportional to 302.78, 454.17 and 187.56 is: 281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.78 : 454.17 = 187.56 : x
  2. Step 2: Convert to fraction form
    302.78/454.17 = 187.56/x
  3. Step 3: Cross multiply
    302.78x = 454.17 × 187.56
  4. Step 4: Simplify right side
    302.78x = 85,180.92
  5. Step 5: Solve for x
    x = 85,180.92/302.78
  6. Step 6: Final answer
    x = 281.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.