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Finding the Fourth Proportional to 509.23, 763.80 and 144.01

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Solution

The fourth proportional to 509.23, 763.80 and 144.01 is: 216.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.23 : 763.80 = 144.01 : x
  2. Step 2: Convert to fraction form
    509.23/763.80 = 144.01/x
  3. Step 3: Cross multiply
    509.23x = 763.80 × 144.01
  4. Step 4: Simplify right side
    509.23x = 109,994.12
  5. Step 5: Solve for x
    x = 109,994.12/509.23
  6. Step 6: Final answer
    x = 216.00

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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.