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Finding the Fourth Proportional to 525.07, 787.14 and 200.21

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Solution

The fourth proportional to 525.07, 787.14 and 200.21 is: 300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.07 : 787.14 = 200.21 : x
  2. Step 2: Convert to fraction form
    525.07/787.14 = 200.21/x
  3. Step 3: Cross multiply
    525.07x = 787.14 × 200.21
  4. Step 4: Simplify right side
    525.07x = 157,589.36
  5. Step 5: Solve for x
    x = 157,589.36/525.07
  6. Step 6: Final answer
    x = 300.13

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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.