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Finding the Fourth Proportional to 287.46, 431.28 and 114.20

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Solution

The fourth proportional to 287.46, 431.28 and 114.20 is: 171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.46 : 431.28 = 114.20 : x
  2. Step 2: Convert to fraction form
    287.46/431.28 = 114.20/x
  3. Step 3: Cross multiply
    287.46x = 431.28 × 114.20
  4. Step 4: Simplify right side
    287.46x = 49,252.18
  5. Step 5: Solve for x
    x = 49,252.18/287.46
  6. Step 6: Final answer
    x = 171.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.