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Finding the Fourth Proportional to 512.58, 769 and 147.36

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Solution

The fourth proportional to 512.58, 769 and 147.36 is: 221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 769 = 147.36 : x
  2. Step 2: Convert to fraction form
    512.58/769 = 147.36/x
  3. Step 3: Cross multiply
    512.58x = 769 × 147.36
  4. Step 4: Simplify right side
    512.58x = 113,319.84
  5. Step 5: Solve for x
    x = 113,319.84/512.58
  6. Step 6: Final answer
    x = 221.08

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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.