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Finding the Fourth Proportional to 280.98, 421.70 and 118.77

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Solution

The fourth proportional to 280.98, 421.70 and 118.77 is: 178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.98 : 421.70 = 118.77 : x
  2. Step 2: Convert to fraction form
    280.98/421.70 = 118.77/x
  3. Step 3: Cross multiply
    280.98x = 421.70 × 118.77
  4. Step 4: Simplify right side
    280.98x = 50,084.72
  5. Step 5: Solve for x
    x = 50,084.72/280.98
  6. Step 6: Final answer
    x = 178.25

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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.