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Finding the Fourth Proportional to 280.14, 386.25 and 230.16

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Solution

The fourth proportional to 280.14, 386.25 and 230.16 is: 317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.14 : 386.25 = 230.16 : x
  2. Step 2: Convert to fraction form
    280.14/386.25 = 230.16/x
  3. Step 3: Cross multiply
    280.14x = 386.25 × 230.16
  4. Step 4: Simplify right side
    280.14x = 88,899.30
  5. Step 5: Solve for x
    x = 88,899.30/280.14
  6. Step 6: Final answer
    x = 317.34

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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.