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Finding the Fourth Proportional to 525.97, 788.95 and 179.34

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Solution

The fourth proportional to 525.97, 788.95 and 179.34 is: 269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.97 : 788.95 = 179.34 : x
  2. Step 2: Convert to fraction form
    525.97/788.95 = 179.34/x
  3. Step 3: Cross multiply
    525.97x = 788.95 × 179.34
  4. Step 4: Simplify right side
    525.97x = 141,489.84
  5. Step 5: Solve for x
    x = 141,489.84/525.97
  6. Step 6: Final answer
    x = 269.01

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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.