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Finding the Fourth Proportional to 280.51, 387.14 and 168.48

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Solution

The fourth proportional to 280.51, 387.14 and 168.48 is: 232.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.51 : 387.14 = 168.48 : x
  2. Step 2: Convert to fraction form
    280.51/387.14 = 168.48/x
  3. Step 3: Cross multiply
    280.51x = 387.14 × 168.48
  4. Step 4: Simplify right side
    280.51x = 65,224.50
  5. Step 5: Solve for x
    x = 65,224.50/280.51
  6. Step 6: Final answer
    x = 232.52

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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.