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Finding the Fourth Proportional to 278.16, 383.54 and 204.51

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Solution

The fourth proportional to 278.16, 383.54 and 204.51 is: 281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.16 : 383.54 = 204.51 : x
  2. Step 2: Convert to fraction form
    278.16/383.54 = 204.51/x
  3. Step 3: Cross multiply
    278.16x = 383.54 × 204.51
  4. Step 4: Simplify right side
    278.16x = 78,436.74
  5. Step 5: Solve for x
    x = 78,436.74/278.16
  6. Step 6: Final answer
    x = 281.98

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Why These Related Problems?

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