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Finding the Fourth Proportional to 509.22, 763.88 and 144.02

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Solution

The fourth proportional to 509.22, 763.88 and 144.02 is: 216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.22 : 763.88 = 144.02 : x
  2. Step 2: Convert to fraction form
    509.22/763.88 = 144.02/x
  3. Step 3: Cross multiply
    509.22x = 763.88 × 144.02
  4. Step 4: Simplify right side
    509.22x = 110,009.46
  5. Step 5: Solve for x
    x = 110,009.46/509.22
  6. Step 6: Final answer
    x = 216.04

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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.