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Finding the Fourth Proportional to 573.25, 859.92 and 188.50

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Solution

The fourth proportional to 573.25, 859.92 and 188.50 is: 282.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.25 : 859.92 = 188.50 : x
  2. Step 2: Convert to fraction form
    573.25/859.92 = 188.50/x
  3. Step 3: Cross multiply
    573.25x = 859.92 × 188.50
  4. Step 4: Simplify right side
    573.25x = 162,094.92
  5. Step 5: Solve for x
    x = 162,094.92/573.25
  6. Step 6: Final answer
    x = 282.76

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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.