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Finding the Fourth Proportional to 189.55, 282.41 and 177.13

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Solution

The fourth proportional to 189.55, 282.41 and 177.13 is: 263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.55 : 282.41 = 177.13 : x
  2. Step 2: Convert to fraction form
    189.55/282.41 = 177.13/x
  3. Step 3: Cross multiply
    189.55x = 282.41 × 177.13
  4. Step 4: Simplify right side
    189.55x = 50,021.87
  5. Step 5: Solve for x
    x = 50,021.87/189.55
  6. Step 6: Final answer
    x = 263.90

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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.