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Finding the Fourth Proportional to 509.36, 764.01 and 144.14

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Solution

The fourth proportional to 509.36, 764.01 and 144.14 is: 216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.36 : 764.01 = 144.14 : x
  2. Step 2: Convert to fraction form
    509.36/764.01 = 144.14/x
  3. Step 3: Cross multiply
    509.36x = 764.01 × 144.14
  4. Step 4: Simplify right side
    509.36x = 110,120.58
  5. Step 5: Solve for x
    x = 110,120.58/509.36
  6. Step 6: Final answer
    x = 216.20

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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.