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Finding the Fourth Proportional to 278.14, 416.67 and 156.03

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Solution

The fourth proportional to 278.14, 416.67 and 156.03 is: 233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.14 : 416.67 = 156.03 : x
  2. Step 2: Convert to fraction form
    278.14/416.67 = 156.03/x
  3. Step 3: Cross multiply
    278.14x = 416.67 × 156.03
  4. Step 4: Simplify right side
    278.14x = 65,012.24
  5. Step 5: Solve for x
    x = 65,012.24/278.14
  6. Step 6: Final answer
    x = 233.74

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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.