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Finding the Fourth Proportional to 509.90, 764.91 and 185.20

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Solution

The fourth proportional to 509.90, 764.91 and 185.20 is: 277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.90 : 764.91 = 185.20 : x
  2. Step 2: Convert to fraction form
    509.90/764.91 = 185.20/x
  3. Step 3: Cross multiply
    509.90x = 764.91 × 185.20
  4. Step 4: Simplify right side
    509.90x = 141,656.58
  5. Step 5: Solve for x
    x = 141,656.58/509.90
  6. Step 6: Final answer
    x = 277.81

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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.