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Finding the Fourth Proportional to 189.41, 285.54 and 176.87

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Solution

The fourth proportional to 189.41, 285.54 and 176.87 is: 266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.41 : 285.54 = 176.87 : x
  2. Step 2: Convert to fraction form
    189.41/285.54 = 176.87/x
  3. Step 3: Cross multiply
    189.41x = 285.54 × 176.87
  4. Step 4: Simplify right side
    189.41x = 50,504.17
  5. Step 5: Solve for x
    x = 50,504.17/189.41
  6. Step 6: Final answer
    x = 266.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.