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Finding the Fourth Proportional to 189.34, 284.02 and 52.38

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Solution

The fourth proportional to 189.34, 284.02 and 52.38 is: 78.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.34 : 284.02 = 52.38 : x
  2. Step 2: Convert to fraction form
    189.34/284.02 = 52.38/x
  3. Step 3: Cross multiply
    189.34x = 284.02 × 52.38
  4. Step 4: Simplify right side
    189.34x = 14,876.84
  5. Step 5: Solve for x
    x = 14,876.84/189.34
  6. Step 6: Final answer
    x = 78.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.