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Finding the Fourth Proportional to 287.91, 431.87 and 141.63

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Solution

The fourth proportional to 287.91, 431.87 and 141.63 is: 212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.91 : 431.87 = 141.63 : x
  2. Step 2: Convert to fraction form
    287.91/431.87 = 141.63/x
  3. Step 3: Cross multiply
    287.91x = 431.87 × 141.63
  4. Step 4: Simplify right side
    287.91x = 61,165.04
  5. Step 5: Solve for x
    x = 61,165.04/287.91
  6. Step 6: Final answer
    x = 212.45

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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.