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Finding the Fourth Proportional to 189.72, 283.35 and 162.38

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Solution

The fourth proportional to 189.72, 283.35 and 162.38 is: 242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.72 : 283.35 = 162.38 : x
  2. Step 2: Convert to fraction form
    189.72/283.35 = 162.38/x
  3. Step 3: Cross multiply
    189.72x = 283.35 × 162.38
  4. Step 4: Simplify right side
    189.72x = 46,008.96
  5. Step 5: Solve for x
    x = 46,008.96/189.72
  6. Step 6: Final answer
    x = 242.51

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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.