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Finding the Fourth Proportional to 525.37, 787.81 and 160.08

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Solution

The fourth proportional to 525.37, 787.81 and 160.08 is: 240.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.37 : 787.81 = 160.08 : x
  2. Step 2: Convert to fraction form
    525.37/787.81 = 160.08/x
  3. Step 3: Cross multiply
    525.37x = 787.81 × 160.08
  4. Step 4: Simplify right side
    525.37x = 126,112.62
  5. Step 5: Solve for x
    x = 126,112.62/525.37
  6. Step 6: Final answer
    x = 240.05

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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.