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Finding the Fourth Proportional to 505.06, 757.62 and 139.84

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Solution

The fourth proportional to 505.06, 757.62 and 139.84 is: 209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.06 : 757.62 = 139.84 : x
  2. Step 2: Convert to fraction form
    505.06/757.62 = 139.84/x
  3. Step 3: Cross multiply
    505.06x = 757.62 × 139.84
  4. Step 4: Simplify right side
    505.06x = 105,945.58
  5. Step 5: Solve for x
    x = 105,945.58/505.06
  6. Step 6: Final answer
    x = 209.77

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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.