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Finding the Fourth Proportional to 509.96, 765.07 and 144.77

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Solution

The fourth proportional to 509.96, 765.07 and 144.77 is: 217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.96 : 765.07 = 144.77 : x
  2. Step 2: Convert to fraction form
    509.96/765.07 = 144.77/x
  3. Step 3: Cross multiply
    509.96x = 765.07 × 144.77
  4. Step 4: Simplify right side
    509.96x = 110,762.93
  5. Step 5: Solve for x
    x = 110,762.93/509.96
  6. Step 6: Final answer
    x = 217.20

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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.