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Finding the Fourth Proportional to 189.60, 283.04 and 157.12

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Solution

The fourth proportional to 189.60, 283.04 and 157.12 is: 234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.60 : 283.04 = 157.12 : x
  2. Step 2: Convert to fraction form
    189.60/283.04 = 157.12/x
  3. Step 3: Cross multiply
    189.60x = 283.04 × 157.12
  4. Step 4: Simplify right side
    189.60x = 44,471.24
  5. Step 5: Solve for x
    x = 44,471.24/189.60
  6. Step 6: Final answer
    x = 234.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.