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Finding the Fourth Proportional to 525.30, 788.06 and 178.62

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Solution

The fourth proportional to 525.30, 788.06 and 178.62 is: 267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.30 : 788.06 = 178.62 : x
  2. Step 2: Convert to fraction form
    525.30/788.06 = 178.62/x
  3. Step 3: Cross multiply
    525.30x = 788.06 × 178.62
  4. Step 4: Simplify right side
    525.30x = 140,763.28
  5. Step 5: Solve for x
    x = 140,763.28/525.30
  6. Step 6: Final answer
    x = 267.97

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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.