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Finding the Fourth Proportional to 280.71, 420.21 and 172.17

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Solution

The fourth proportional to 280.71, 420.21 and 172.17 is: 257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.71 : 420.21 = 172.17 : x
  2. Step 2: Convert to fraction form
    280.71/420.21 = 172.17/x
  3. Step 3: Cross multiply
    280.71x = 420.21 × 172.17
  4. Step 4: Simplify right side
    280.71x = 72,347.56
  5. Step 5: Solve for x
    x = 72,347.56/280.71
  6. Step 6: Final answer
    x = 257.73

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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.