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Finding the Fourth Proportional to 280.44, 420.53 and 177.84

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Solution

The fourth proportional to 280.44, 420.53 and 177.84 is: 266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.44 : 420.53 = 177.84 : x
  2. Step 2: Convert to fraction form
    280.44/420.53 = 177.84/x
  3. Step 3: Cross multiply
    280.44x = 420.53 × 177.84
  4. Step 4: Simplify right side
    280.44x = 74,786.17
  5. Step 5: Solve for x
    x = 74,786.17/280.44
  6. Step 6: Final answer
    x = 266.67

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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.