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Finding the Fourth Proportional to 528.50, 792.94 and 186.50

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Solution

The fourth proportional to 528.50, 792.94 and 186.50 is: 279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.50 : 792.94 = 186.50 : x
  2. Step 2: Convert to fraction form
    528.50/792.94 = 186.50/x
  3. Step 3: Cross multiply
    528.50x = 792.94 × 186.50
  4. Step 4: Simplify right side
    528.50x = 147,883.31
  5. Step 5: Solve for x
    x = 147,883.31/528.50
  6. Step 6: Final answer
    x = 279.82

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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.