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Finding the Fourth Proportional to 189.14, 283.10 and 180.02

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Solution

The fourth proportional to 189.14, 283.10 and 180.02 is: 269.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.14 : 283.10 = 180.02 : x
  2. Step 2: Convert to fraction form
    189.14/283.10 = 180.02/x
  3. Step 3: Cross multiply
    189.14x = 283.10 × 180.02
  4. Step 4: Simplify right side
    189.14x = 50,963.47
  5. Step 5: Solve for x
    x = 50,963.47/189.14
  6. Step 6: Final answer
    x = 269.46

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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.