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Finding the Fourth Proportional to 525.67, 787.69 and 200.86

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Solution

The fourth proportional to 525.67, 787.69 and 200.86 is: 300.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.67 : 787.69 = 200.86 : x
  2. Step 2: Convert to fraction form
    525.67/787.69 = 200.86/x
  3. Step 3: Cross multiply
    525.67x = 787.69 × 200.86
  4. Step 4: Simplify right side
    525.67x = 158,215.41
  5. Step 5: Solve for x
    x = 158,215.41/525.67
  6. Step 6: Final answer
    x = 300.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.