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Finding the Fourth Proportional to 280.86, 387.55 and 156.51

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Solution

The fourth proportional to 280.86, 387.55 and 156.51 is: 215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.86 : 387.55 = 156.51 : x
  2. Step 2: Convert to fraction form
    280.86/387.55 = 156.51/x
  3. Step 3: Cross multiply
    280.86x = 387.55 × 156.51
  4. Step 4: Simplify right side
    280.86x = 60,654.19
  5. Step 5: Solve for x
    x = 60,654.19/280.86
  6. Step 6: Final answer
    x = 215.96

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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.