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Finding the Fourth Proportional to 287.46, 431.12 and 95.04

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Solution

The fourth proportional to 287.46, 431.12 and 95.04 is: 142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.46 : 431.12 = 95.04 : x
  2. Step 2: Convert to fraction form
    287.46/431.12 = 95.04/x
  3. Step 3: Cross multiply
    287.46x = 431.12 × 95.04
  4. Step 4: Simplify right side
    287.46x = 40,973.64
  5. Step 5: Solve for x
    x = 40,973.64/287.46
  6. Step 6: Final answer
    x = 142.54

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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.