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Finding the Fourth Proportional to 190.47, 287.30 and 179.23

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Solution

The fourth proportional to 190.47, 287.30 and 179.23 is: 270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.47 : 287.30 = 179.23 : x
  2. Step 2: Convert to fraction form
    190.47/287.30 = 179.23/x
  3. Step 3: Cross multiply
    190.47x = 287.30 × 179.23
  4. Step 4: Simplify right side
    190.47x = 51,492.78
  5. Step 5: Solve for x
    x = 51,492.78/190.47
  6. Step 6: Final answer
    x = 270.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.