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Finding the Fourth Proportional to 527.92, 792.23 and 185.92

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Solution

The fourth proportional to 527.92, 792.23 and 185.92 is: 279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.92 : 792.23 = 185.92 : x
  2. Step 2: Convert to fraction form
    527.92/792.23 = 185.92/x
  3. Step 3: Cross multiply
    527.92x = 792.23 × 185.92
  4. Step 4: Simplify right side
    527.92x = 147,291.40
  5. Step 5: Solve for x
    x = 147,291.40/527.92
  6. Step 6: Final answer
    x = 279.00

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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.