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Finding the Fourth Proportional to 189.52, 284.28 and 52.57

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Solution

The fourth proportional to 189.52, 284.28 and 52.57 is: 78.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.52 : 284.28 = 52.57 : x
  2. Step 2: Convert to fraction form
    189.52/284.28 = 52.57/x
  3. Step 3: Cross multiply
    189.52x = 284.28 × 52.57
  4. Step 4: Simplify right side
    189.52x = 14,943.89
  5. Step 5: Solve for x
    x = 14,943.89/189.52
  6. Step 6: Final answer
    x = 78.85

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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.