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Finding the Fourth Proportional to 189.92, 283.50 and 176.01

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Solution

The fourth proportional to 189.92, 283.50 and 176.01 is: 262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.92 : 283.50 = 176.01 : x
  2. Step 2: Convert to fraction form
    189.92/283.50 = 176.01/x
  3. Step 3: Cross multiply
    189.92x = 283.50 × 176.01
  4. Step 4: Simplify right side
    189.92x = 49,898.84
  5. Step 5: Solve for x
    x = 49,898.84/189.92
  6. Step 6: Final answer
    x = 262.74

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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.