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Finding the Fourth Proportional to 189.42, 282.35 and 179.16

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Solution

The fourth proportional to 189.42, 282.35 and 179.16 is: 267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.42 : 282.35 = 179.16 : x
  2. Step 2: Convert to fraction form
    189.42/282.35 = 179.16/x
  3. Step 3: Cross multiply
    189.42x = 282.35 × 179.16
  4. Step 4: Simplify right side
    189.42x = 50,584.41
  5. Step 5: Solve for x
    x = 50,584.41/189.42
  6. Step 6: Final answer
    x = 267.06

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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.