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Finding the Fourth Proportional to 189.24, 283.46 and 187.08

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Solution

The fourth proportional to 189.24, 283.46 and 187.08 is: 280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.24 : 283.46 = 187.08 : x
  2. Step 2: Convert to fraction form
    189.24/283.46 = 187.08/x
  3. Step 3: Cross multiply
    189.24x = 283.46 × 187.08
  4. Step 4: Simplify right side
    189.24x = 53,029.70
  5. Step 5: Solve for x
    x = 53,029.70/189.24
  6. Step 6: Final answer
    x = 280.22

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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.