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Finding the Fourth Proportional to 280.24, 386.70 and 187.09

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Solution

The fourth proportional to 280.24, 386.70 and 187.09 is: 258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.24 : 386.70 = 187.09 : x
  2. Step 2: Convert to fraction form
    280.24/386.70 = 187.09/x
  3. Step 3: Cross multiply
    280.24x = 386.70 × 187.09
  4. Step 4: Simplify right side
    280.24x = 72,347.70
  5. Step 5: Solve for x
    x = 72,347.70/280.24
  6. Step 6: Final answer
    x = 258.16

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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.