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Finding the Fourth Proportional to 278.37, 384.35 and 223.16

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Solution

The fourth proportional to 278.37, 384.35 and 223.16 is: 308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.37 : 384.35 = 223.16 : x
  2. Step 2: Convert to fraction form
    278.37/384.35 = 223.16/x
  3. Step 3: Cross multiply
    278.37x = 384.35 × 223.16
  4. Step 4: Simplify right side
    278.37x = 85,768.51
  5. Step 5: Solve for x
    x = 85,768.51/278.37
  6. Step 6: Final answer
    x = 308.11

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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.