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Finding the Fourth Proportional to 278.15, 383.85 and 153.81

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Solution

The fourth proportional to 278.15, 383.85 and 153.81 is: 212.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.15 : 383.85 = 153.81 : x
  2. Step 2: Convert to fraction form
    278.15/383.85 = 153.81/x
  3. Step 3: Cross multiply
    278.15x = 383.85 × 153.81
  4. Step 4: Simplify right side
    278.15x = 59,039.97
  5. Step 5: Solve for x
    x = 59,039.97/278.15
  6. Step 6: Final answer
    x = 212.26

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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.