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Finding the Fourth Proportional to 525.62, 788.40 and 178.94

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Solution

The fourth proportional to 525.62, 788.40 and 178.94 is: 268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.62 : 788.40 = 178.94 : x
  2. Step 2: Convert to fraction form
    525.62/788.40 = 178.94/x
  3. Step 3: Cross multiply
    525.62x = 788.40 × 178.94
  4. Step 4: Simplify right side
    525.62x = 141,072.35
  5. Step 5: Solve for x
    x = 141,072.35/525.62
  6. Step 6: Final answer
    x = 268.39

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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.