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Finding the Fourth Proportional to 509.34, 763.90 and 144.17

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Solution

The fourth proportional to 509.34, 763.90 and 144.17 is: 216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.34 : 763.90 = 144.17 : x
  2. Step 2: Convert to fraction form
    509.34/763.90 = 144.17/x
  3. Step 3: Cross multiply
    509.34x = 763.90 × 144.17
  4. Step 4: Simplify right side
    509.34x = 110,127.28
  5. Step 5: Solve for x
    x = 110,127.28/509.34
  6. Step 6: Final answer
    x = 216.22

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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.