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Finding the Fourth Proportional to 189.16, 283.40 and 158.68

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Solution

The fourth proportional to 189.16, 283.40 and 158.68 is: 237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.16 : 283.40 = 158.68 : x
  2. Step 2: Convert to fraction form
    189.16/283.40 = 158.68/x
  3. Step 3: Cross multiply
    189.16x = 283.40 × 158.68
  4. Step 4: Simplify right side
    189.16x = 44,969.91
  5. Step 5: Solve for x
    x = 44,969.91/189.16
  6. Step 6: Final answer
    x = 237.73

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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.