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Finding the Fourth Proportional to 278.15, 416.61 and 231.98

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Solution

The fourth proportional to 278.15, 416.61 and 231.98 is: 347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.15 : 416.61 = 231.98 : x
  2. Step 2: Convert to fraction form
    278.15/416.61 = 231.98/x
  3. Step 3: Cross multiply
    278.15x = 416.61 × 231.98
  4. Step 4: Simplify right side
    278.15x = 96,643.10
  5. Step 5: Solve for x
    x = 96,643.10/278.15
  6. Step 6: Final answer
    x = 347.46

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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.