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Finding the Fourth Proportional to 278.12, 383.76 and 167.64

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Solution

The fourth proportional to 278.12, 383.76 and 167.64 is: 231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.12 : 383.76 = 167.64 : x
  2. Step 2: Convert to fraction form
    278.12/383.76 = 167.64/x
  3. Step 3: Cross multiply
    278.12x = 383.76 × 167.64
  4. Step 4: Simplify right side
    278.12x = 64,333.53
  5. Step 5: Solve for x
    x = 64,333.53/278.12
  6. Step 6: Final answer
    x = 231.32

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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.