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Finding the Fourth Proportional to 278.23, 416.69 and 175.21

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Solution

The fourth proportional to 278.23, 416.69 and 175.21 is: 262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.23 : 416.69 = 175.21 : x
  2. Step 2: Convert to fraction form
    278.23/416.69 = 175.21/x
  3. Step 3: Cross multiply
    278.23x = 416.69 × 175.21
  4. Step 4: Simplify right side
    278.23x = 73,007.65
  5. Step 5: Solve for x
    x = 73,007.65/278.23
  6. Step 6: Final answer
    x = 262.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.