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Finding the Fourth Proportional to 278.04, 416.76 and 175.20

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Solution

The fourth proportional to 278.04, 416.76 and 175.20 is: 262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.04 : 416.76 = 175.20 : x
  2. Step 2: Convert to fraction form
    278.04/416.76 = 175.20/x
  3. Step 3: Cross multiply
    278.04x = 416.76 × 175.20
  4. Step 4: Simplify right side
    278.04x = 73,016.35
  5. Step 5: Solve for x
    x = 73,016.35/278.04
  6. Step 6: Final answer
    x = 262.61

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Why These Related Problems?

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