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Finding the Fourth Proportional to 509.34, 763.89 and 144.18

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Solution

The fourth proportional to 509.34, 763.89 and 144.18 is: 216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.34 : 763.89 = 144.18 : x
  2. Step 2: Convert to fraction form
    509.34/763.89 = 144.18/x
  3. Step 3: Cross multiply
    509.34x = 763.89 × 144.18
  4. Step 4: Simplify right side
    509.34x = 110,137.66
  5. Step 5: Solve for x
    x = 110,137.66/509.34
  6. Step 6: Final answer
    x = 216.24

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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.