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Finding the Fourth Proportional to 509.82, 764.70 and 185.18

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Solution

The fourth proportional to 509.82, 764.70 and 185.18 is: 277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.82 : 764.70 = 185.18 : x
  2. Step 2: Convert to fraction form
    509.82/764.70 = 185.18/x
  3. Step 3: Cross multiply
    509.82x = 764.70 × 185.18
  4. Step 4: Simplify right side
    509.82x = 141,607.15
  5. Step 5: Solve for x
    x = 141,607.15/509.82
  6. Step 6: Final answer
    x = 277.76

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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.