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Finding the Fourth Proportional to 278.75, 384.69 and 162.35

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Solution

The fourth proportional to 278.75, 384.69 and 162.35 is: 224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.75 : 384.69 = 162.35 : x
  2. Step 2: Convert to fraction form
    278.75/384.69 = 162.35/x
  3. Step 3: Cross multiply
    278.75x = 384.69 × 162.35
  4. Step 4: Simplify right side
    278.75x = 62,454.42
  5. Step 5: Solve for x
    x = 62,454.42/278.75
  6. Step 6: Final answer
    x = 224.05

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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.