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Finding the Fourth Proportional to 280.52, 387.06 and 170.02

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Solution

The fourth proportional to 280.52, 387.06 and 170.02 is: 234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.52 : 387.06 = 170.02 : x
  2. Step 2: Convert to fraction form
    280.52/387.06 = 170.02/x
  3. Step 3: Cross multiply
    280.52x = 387.06 × 170.02
  4. Step 4: Simplify right side
    280.52x = 65,807.94
  5. Step 5: Solve for x
    x = 65,807.94/280.52
  6. Step 6: Final answer
    x = 234.59

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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.