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Finding the Fourth Proportional to 525.29, 788.21 and 200.66

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Solution

The fourth proportional to 525.29, 788.21 and 200.66 is: 301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.29 : 788.21 = 200.66 : x
  2. Step 2: Convert to fraction form
    525.29/788.21 = 200.66/x
  3. Step 3: Cross multiply
    525.29x = 788.21 × 200.66
  4. Step 4: Simplify right side
    525.29x = 158,162.22
  5. Step 5: Solve for x
    x = 158,162.22/525.29
  6. Step 6: Final answer
    x = 301.10

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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.