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Finding the Fourth Proportional to 189.04, 283.04 and 130.88

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Solution

The fourth proportional to 189.04, 283.04 and 130.88 is: 195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.04 : 283.04 = 130.88 : x
  2. Step 2: Convert to fraction form
    189.04/283.04 = 130.88/x
  3. Step 3: Cross multiply
    189.04x = 283.04 × 130.88
  4. Step 4: Simplify right side
    189.04x = 37,044.28
  5. Step 5: Solve for x
    x = 37,044.28/189.04
  6. Step 6: Final answer
    x = 195.96

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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.