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Finding the Fourth Proportional to 189.66, 282.62 and 178.86

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Solution

The fourth proportional to 189.66, 282.62 and 178.86 is: 266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.66 : 282.62 = 178.86 : x
  2. Step 2: Convert to fraction form
    189.66/282.62 = 178.86/x
  3. Step 3: Cross multiply
    189.66x = 282.62 × 178.86
  4. Step 4: Simplify right side
    189.66x = 50,548.52
  5. Step 5: Solve for x
    x = 50,548.52/189.66
  6. Step 6: Final answer
    x = 266.52

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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.