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Finding the Fourth Proportional to 280.96, 421.45 and 118.53

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Solution

The fourth proportional to 280.96, 421.45 and 118.53 is: 177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.96 : 421.45 = 118.53 : x
  2. Step 2: Convert to fraction form
    280.96/421.45 = 118.53/x
  3. Step 3: Cross multiply
    280.96x = 421.45 × 118.53
  4. Step 4: Simplify right side
    280.96x = 49,954.17
  5. Step 5: Solve for x
    x = 49,954.17/280.96
  6. Step 6: Final answer
    x = 177.80

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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.