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Finding the Fourth Proportional to 189.29, 260.46 and 184.52

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Solution

The fourth proportional to 189.29, 260.46 and 184.52 is: 253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.29 : 260.46 = 184.52 : x
  2. Step 2: Convert to fraction form
    189.29/260.46 = 184.52/x
  3. Step 3: Cross multiply
    189.29x = 260.46 × 184.52
  4. Step 4: Simplify right side
    189.29x = 48,060.08
  5. Step 5: Solve for x
    x = 48,060.08/189.29
  6. Step 6: Final answer
    x = 253.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.