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Finding the Fourth Proportional to 287.61, 432.28 and 190.44

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Solution

The fourth proportional to 287.61, 432.28 and 190.44 is: 286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.61 : 432.28 = 190.44 : x
  2. Step 2: Convert to fraction form
    287.61/432.28 = 190.44/x
  3. Step 3: Cross multiply
    287.61x = 432.28 × 190.44
  4. Step 4: Simplify right side
    287.61x = 82,322.93
  5. Step 5: Solve for x
    x = 82,322.93/287.61
  6. Step 6: Final answer
    x = 286.23

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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.