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Finding the Fourth Proportional to 280.53, 387.02 and 169.98

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Solution

The fourth proportional to 280.53, 387.02 and 169.98 is: 234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.53 : 387.02 = 169.98 : x
  2. Step 2: Convert to fraction form
    280.53/387.02 = 169.98/x
  3. Step 3: Cross multiply
    280.53x = 387.02 × 169.98
  4. Step 4: Simplify right side
    280.53x = 65,784.81
  5. Step 5: Solve for x
    x = 65,784.81/280.53
  6. Step 6: Final answer
    x = 234.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.